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CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:CMSA
X-ORIGINAL-URL:https://live-hu-cmsa-222.pantheonsite.io
X-WR-CALDESC:Events for CMSA
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X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20150308T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20151101T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20160313T070000
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TZOFFSETTO:-0500
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DTSTART:20161106T060000
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TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20170312T070000
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TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20171105T060000
END:STANDARD
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TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20180311T070000
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TZOFFSETTO:-0500
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161018T181100
DTEND;TZID=America/New_York:20161025T181200
DTSTAMP:20240213T084529Z
CREATED:20240213T084529Z
LAST-MODIFIED:20240213T084529Z
UID:10002250-1476814260-1477419120@live-hu-cmsa-222.pantheonsite.io
SUMMARY:10-18\, 10-25\, 11-01-16 CMSA Special Seminar Series\, Tuesdays
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/10-18-10-25-11-01-16-cmsa-special-seminar-series-tuesdays/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161020T140000
DTEND;TZID=America/New_York:20161020T160000
DTSTAMP:20240307T101057Z
CREATED:20240212T085547Z
LAST-MODIFIED:20240307T101057Z
UID:10001897-1476972000-1476979200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:10-20-2016 Homological Mirror Symmetry Seminar
DESCRIPTION:References:  \n\nP. Seidel\, “Biased view of symplectic cohomology” https://arxiv.org/abs/0704.2055\nD. Auroux\, “Beginners introduction to Fukaya categories” https://arxiv.org/pdf/1301.7056v1.pdf\nD. Auroux\, “Mirror symmetry in complement of anti-canonical divisor” https://arxiv.org/abs/0706.3207\nAuroux’s talks at 2016 IMJ-PRG summer school\, notes taken by Kevin Sackel\, available http://school2016.imj-prg.fr/abstract.html
URL:https://live-hu-cmsa-222.pantheonsite.io/event/10-20-2016-homological-mirror-symmetry-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161101T183600
DTEND;TZID=America/New_York:20161101T183600
DTSTAMP:20240213T092319Z
CREATED:20240213T092319Z
LAST-MODIFIED:20240213T092319Z
UID:10002324-1478025360-1478025360@live-hu-cmsa-222.pantheonsite.io
SUMMARY:11-01-2016 Social Sciences Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-01-2016-social-sciences-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161103T104300
DTEND;TZID=America/New_York:20161103T104300
DTSTAMP:20240213T093428Z
CREATED:20240213T093428Z
LAST-MODIFIED:20240213T093428Z
UID:10002343-1478169780-1478169780@live-hu-cmsa-222.pantheonsite.io
SUMMARY:11-03-2016 Homological Mirror Symmetry Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-03-2016-homological-mirror-symmetry-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161108T105600
DTEND;TZID=America/New_York:20161108T105600
DTSTAMP:20240213T092957Z
CREATED:20240213T092957Z
LAST-MODIFIED:20240213T092957Z
UID:10002337-1478602560-1478602560@live-hu-cmsa-222.pantheonsite.io
SUMMARY:11-08-2016 Social Sciences Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-08-2016-social-sciences-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161115T105700
DTEND;TZID=America/New_York:20161115T105700
DTSTAMP:20240307T092254Z
CREATED:20240213T092817Z
LAST-MODIFIED:20240307T092254Z
UID:10002334-1479207420-1479207420@live-hu-cmsa-222.pantheonsite.io
SUMMARY:11-15-2016 Social Sciences Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-15-2016-social-sciences-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161117T110100
DTEND;TZID=America/New_York:20161117T110100
DTSTAMP:20240307T093627Z
CREATED:20240213T092229Z
LAST-MODIFIED:20240307T093627Z
UID:10002322-1479380460-1479380460@live-hu-cmsa-222.pantheonsite.io
SUMMARY:11-17-2016 CMSA Member’s Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-17-2016-cmsa-members-seminar/
LOCATION:MA
CATEGORIES:Member Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161117T182900
DTEND;TZID=America/New_York:20161117T182900
DTSTAMP:20240213T091100Z
CREATED:20240213T091100Z
LAST-MODIFIED:20240213T091100Z
UID:10002297-1479407340-1479407340@live-hu-cmsa-222.pantheonsite.io
SUMMARY:11-17-16 CMSA Members’ Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/11-17-16-cmsa-members-seminar/
LOCATION:MA
CATEGORIES:Member Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20161208T112100
DTEND;TZID=America/New_York:20161208T112100
DTSTAMP:20240213T090929Z
CREATED:20240213T090929Z
LAST-MODIFIED:20240213T090929Z
UID:10002295-1481196060-1481196060@live-hu-cmsa-222.pantheonsite.io
SUMMARY:12-08-2016 Homological Mirror Symmetry Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/12-08-2016-homological-mirror-symmetry-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170113T135400
DTEND;TZID=America/New_York:20170113T135400
DTSTAMP:20240515T181739Z
CREATED:20240212T110905Z
LAST-MODIFIED:20240515T181739Z
UID:10002039-1484315640-1484315640@live-hu-cmsa-222.pantheonsite.io
SUMMARY:01-25-2017 Colloquium
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/01-25-2017-colloquium/
LOCATION:MA
CATEGORIES:Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170203T113700
DTEND;TZID=America/New_York:20170203T113700
DTSTAMP:20240213T094454Z
CREATED:20240213T094454Z
LAST-MODIFIED:20240213T094454Z
UID:10002361-1486121820-1486121820@live-hu-cmsa-222.pantheonsite.io
SUMMARY:02-03-2017 CMSA Members’ Seminar
DESCRIPTION:Hansol Hong\, Harvard \nTitle: Homological Mirror Functors \nAbstract: I will first give a brief introduction to mirror symmetry\, which intertwines symplectic geometry and complex geometry of a pair of Kahler manifolds\, and explain mirror construction using formal deformation of a Lagrangian submanifold.  We will see that counting of holomorphic discs bounding Lagrangian naturally gives rise to a mirror space (Landau-Ginzburg model) and  a functor from Fukaya category to its mirror matrix factorization category. I will mainly focus on one specific example to give a concrete description of the construction.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/02-03-2017-cmsa-members-seminar/
LOCATION:MA
CATEGORIES:Member Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170207T113200
DTEND;TZID=America/New_York:20170207T113200
DTSTAMP:20240213T095702Z
CREATED:20240213T095702Z
LAST-MODIFIED:20240213T095702Z
UID:10002373-1486467120-1486467120@live-hu-cmsa-222.pantheonsite.io
SUMMARY:02-07-2017 Social Sciences Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/02-07-2017-social-sciences-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170214T114200
DTEND;TZID=America/New_York:20170214T114200
DTSTAMP:20240213T094223Z
CREATED:20240213T094223Z
LAST-MODIFIED:20240213T094223Z
UID:10002357-1487072520-1487072520@live-hu-cmsa-222.pantheonsite.io
SUMMARY:02-14-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/02-14-2017-social-science-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170215T163000
DTEND;TZID=America/New_York:20170215T173000
DTSTAMP:20240214T155238Z
CREATED:20240213T062641Z
LAST-MODIFIED:20240214T155238Z
UID:10002109-1487176200-1487179800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Geometry of 3-manifolds and Complex Chern-Simons Theory
DESCRIPTION:Speaker: Masahito Yamazaki (IMPU) \nTitle: Geometry of 3-manifolds and Complex Chern-Simons Theory \nAbstract: The geometry of 3-manifolds has been a fascinating subject in mathematics. In this talk I discuss a “quantization” of 3-manifold geometry\, in the language of complex Chern-Simons theory. This Chern-Simons theory in turn is related to the physics of 3-dimensional supersymmetric field theories through the so-called 3d/3d correspondence\, whose origin can be traced back to a mysterious theory on the M5-branes. Along the way I will also comment on the connection with a number of related topics\, such as knot theory\, hyperbolic geometry\, quantum dilogarithm and cluster algebras.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/02-15-2017-colloquium/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/2017_02_07_11_38_45.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170221T115900
DTEND;TZID=America/New_York:20170221T115900
DTSTAMP:20240213T093507Z
CREATED:20240213T093507Z
LAST-MODIFIED:20240213T093507Z
UID:10002344-1487678340-1487678340@live-hu-cmsa-222.pantheonsite.io
SUMMARY:02-21-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/02-21-2017-social-science-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170307T121500
DTEND;TZID=America/New_York:20170307T121500
DTSTAMP:20240213T092656Z
CREATED:20240213T092656Z
LAST-MODIFIED:20240213T092656Z
UID:10002332-1488888900-1488888900@live-hu-cmsa-222.pantheonsite.io
SUMMARY:3-7-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-7-2017-social-science-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170308T121600
DTEND;TZID=America/New_York:20170308T121600
DTSTAMP:20240213T092451Z
CREATED:20240213T092451Z
LAST-MODIFIED:20240213T092451Z
UID:10002328-1488975360-1488975360@live-hu-cmsa-222.pantheonsite.io
SUMMARY:3-8-2017 CMSA Special Lecture Series
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-8-2017-cmsa-special-lecture-series/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170310T122700
DTEND;TZID=America/New_York:20170310T122700
DTSTAMP:20240213T091725Z
CREATED:20240213T091725Z
LAST-MODIFIED:20240213T091725Z
UID:10002310-1489148820-1489148820@live-hu-cmsa-222.pantheonsite.io
SUMMARY:3-10-2017 Special Lecture Series
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-10-2017-special-lecture-series/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170321T122800
DTEND;TZID=America/New_York:20170321T122800
DTSTAMP:20240213T091532Z
CREATED:20240213T091532Z
LAST-MODIFIED:20240213T091532Z
UID:10002307-1490099280-1490099280@live-hu-cmsa-222.pantheonsite.io
SUMMARY:3-21-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-21-2017-social-science-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170330T123800
DTEND;TZID=America/New_York:20170330T123800
DTSTAMP:20240213T102411Z
CREATED:20240213T102411Z
LAST-MODIFIED:20240213T102411Z
UID:10002418-1490877480-1490877480@live-hu-cmsa-222.pantheonsite.io
SUMMARY:3-30-2017 CMSA Special Seminar
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/3-30-2017-cmsa-special-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170405T124200
DTEND;TZID=America/New_York:20170405T124200
DTSTAMP:20240213T101247Z
CREATED:20240213T101247Z
LAST-MODIFIED:20240213T101247Z
UID:10002402-1491396120-1491396120@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-5-2017 Special Lecture Series
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-5-2017-special-lecture-series/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170407T124300
DTEND;TZID=America/New_York:20170407T124300
DTSTAMP:20240213T100607Z
CREATED:20240213T100607Z
LAST-MODIFIED:20240213T100607Z
UID:10002391-1491568980-1491568980@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-7-2017 Special Lecture Series
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-7-2017-special-lecture-series/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170411T130000
DTEND;TZID=America/New_York:20170411T130000
DTSTAMP:20240213T094754Z
CREATED:20240213T094754Z
LAST-MODIFIED:20240213T094754Z
UID:10002365-1491915600-1491915600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-11-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-11-2017-social-science-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170412T124400
DTEND;TZID=America/New_York:20170412T124400
DTSTAMP:20240213T100333Z
CREATED:20240213T100333Z
LAST-MODIFIED:20240213T100333Z
UID:10002385-1492001040-1492001040@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-12-2017 Special Lecture Series
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-12-2017-special-lecture-series/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170412T125300
DTEND;TZID=America/New_York:20170412T125300
DTSTAMP:20240213T095445Z
CREATED:20240213T095445Z
LAST-MODIFIED:20240213T095445Z
UID:10002368-1492001580-1492001580@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-12-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-12-2017-social-science-applications-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170414T124600
DTEND;TZID=America/New_York:20170414T124600
DTSTAMP:20240213T100101Z
CREATED:20240213T100101Z
LAST-MODIFIED:20240213T100101Z
UID:10002378-1492173960-1492173960@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-14-2017 Special Lecture Series
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-14-2017-special-lecture-series/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170418T110000
DTEND;TZID=America/New_York:20170418T120000
DTSTAMP:20240220T144719Z
CREATED:20240213T093734Z
LAST-MODIFIED:20240220T144719Z
UID:10002348-1492513200-1492516800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:4-18-2017 Social Science Applications Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/4-18-2017-social-science-applications-forum/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170502T133000
DTEND;TZID=America/New_York:20170502T133000
DTSTAMP:20240213T102711Z
CREATED:20240213T102711Z
LAST-MODIFIED:20240213T102711Z
UID:10002427-1493731800-1493731800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:5-2-2017 Social Sciences Application Forum
DESCRIPTION:
URL:https://live-hu-cmsa-222.pantheonsite.io/event/5-2-2017-social-sciences-application-forum/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170908T130000
DTEND;TZID=America/New_York:20170908T160000
DTSTAMP:20240209T112503Z
CREATED:20240209T112503Z
LAST-MODIFIED:20240209T112503Z
UID:10001855-1504875600-1504886400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Combinatorics & Complexity Seminar\, Fridays
DESCRIPTION:The seminar on Combinatorics and Complexity will be held every Friday from 1:00-4:00pm in CMSA Building\, 20 Garden Street\, Room G10. \nThe list of speakers for the upcoming academic year will be posted below and updated as details are confirmed. Titles and abstracts for the talks will be added as they are received. \nAdditional information on CMSA’s Combinatorics and Complexity program can be found here. \n  \n\n\n\nDate\nName\nTitle/Abstract\n\n\n09-08-17\n\nTBA\n\n\n09-15-2017\n\nTBA\n\n\n09-22-17\n\nTBA\n\n\n09-29-17\n\nTBA\n\n\n10-06-17\n\n TBA\n\n\n10-13-2017\n\nTBA\n\n\n10-20-2017\n\nTBA\n\n\n10-27-2017\n\nTBA\n\n\n11-03-2017\n\nTBA\n\n\n11-10-2017\n\nTBA\n\n\n11-17-2017\n\nTBA\n\n\n11-24-2017\n\nTBA\n\n\n12-01-2017\n\nTBA\n\n\n12-08-2017\n\n TBA
URL:https://live-hu-cmsa-222.pantheonsite.io/event/combinatorics-complexity-seminar-fridays/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20170914T150000
DTEND;TZID=America/New_York:20170914T160000
DTSTAMP:20240212T072955Z
CREATED:20240212T072955Z
LAST-MODIFIED:20240212T072955Z
UID:10001875-1505401200-1505404800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Algebraic Geometry Seminar\, Thursdays
DESCRIPTION:This seminar will not be held in the Spring 2018 Semester. \nThe Algebraic Geometry Seminar will be every Thursday from 3pm-4pm in CMSA Building\, 20 Garden Street\, Room G10. \nThe schedule will be updated as details are confirmed. \n  \n  \n\n\n\nDate\nName\nTitle/Abstract\n\n\n09-14-17\n Yu-Wei Fan (Harvard Math)\n\nEntropy of an autoequivalence on Calami-Yau manifolds \nAbstract:  We will recall the notion of entropy of an autoequivalence on triangulated categories\, and provide counterexamples of a conjecture by Kikuta-Takahashi. \n\n\n\n11-1-17 \n*5:00pm\, G10*\n Shamil Shakirov\, Harvard Math\n\nUndulation invariants of plane curves \nAbstract: “One of the general problems in algebraic geometry is to determine algorithmically whether or not a given geometric object\, defined by explicit polynomial equations (e.g. a curve or a surface)\, satisfies a given property (e.g. has singularities or other distinctive features of interest). A classical example of such a problem\, described by Cayley and Salmon in 1852\, is to determine whether or not a given plane curve of degree r > 3 has undulation points — the points where the tangent line meets the curve with multiplicity four. Cayley proved that there exists an invariant of degree (r – 3)(3 r – 2) that vanishes if and only if the curve has undulation points. We construct this invariant explicitly for quartics (r=4) as the determinant of a 21 times 21 matrix with polynomial entries\, and we conjecture a generalization for r = 5 \n\n\n\n11-2-17 \n \nAlexander Moll\, IHES\n\nHilbert Schemes from Geometric Quantization of Dispersive Periodic Benjamin-Ono Waves \nABSTRACT: By Grojnowski and Nakajima\, Fock spaces are cohomology rings of Hilbert scheme of points in the plane.  On the other hand\, by Pressley-Segal\, Fock spaces are spaces of J-holomorphic functions on the loop space of the real line that appear in geometric quantization with respect to the Kähler structure determined by the Sobolev regularity s= -1/2 and the Hilbert transform J.  First\, we show that the classical periodic Benjamin-Ono equation is a Liouville integrable Hamiltonian system with respect to this Kähler structure.  Second\, we construct an integrable geometric quantization of this system in Fock space following Nazarov-Sklyanin and describe the spectrum explicitly after a non-trivial rewriting of our coefficients of dispersion \ebar = e_1 + e_2 and quantization \hbar = – e_1 e_2 that is invariant under e_2 <-> e_1.  As a corollary of Lehn’s theorem\, our construction gives explicit creation and annihilation operator formulas for multiplication by new explicit universal polynomials in the Chern classes of the tautological bundle in the equivariant cohomology of our Hilbert schemes\, in particular identifying \ebar with the deformation parameter of the Maulik-Okounkov Yangian and \hbar with the handle-gluing element.  Our key ingredient is a simple formula for the Lax operators as elliptic generalized Toeplitz operators on the circle together with the spectral theory of Boutet de Monvel and Guillemin.  As time permits\, we discuss the relation of dispersionless \ebar -> 0 and semi-classical \hbar \rightarrow 0 limits to Nekrasov’s BPS/CFT Correspondence. \n\n\n\n11-9-17\n  TBD\n  TBD\n\n\n11-16-17\n TBD\n TBD\n\n\n11-23-17\n  TBD\n  TBD\n\n\n11-30-17\n  TBD\n  TBD\n\n\n12-7-17\n  TBD\n  TBD\n\n\n12-15-17\n  TBD\n  TBD
URL:https://live-hu-cmsa-222.pantheonsite.io/event/algebraic-geometry-seminar-thursdays/
LOCATION:MA
CATEGORIES:Seminars
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