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DTSTART;TZID=America/New_York:20220921T090000
DTEND;TZID=America/New_York:20220921T100000
DTSTAMP:20240229T110819Z
CREATED:20230705T064901Z
LAST-MODIFIED:20240229T110819Z
UID:10001142-1663750800-1663754400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Geometric test for topological states of matter
DESCRIPTION:Topological Quantum Matter Seminar\nSpeaker: Semyon Klevtsov\, University of Strasbourg \nTitle: Geometric test for topological states of matter \nAbstract: We generalize the flux insertion argument due to Laughlin\, Niu-Thouless-Tao-Wu\, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a higher-genus surface. We propose this setting as a test to characterise the robustness\, or topologicity\, of the quantum state of matter and apply our test to the Laughlin states. Laughlin states form a vector bundle\, the Laughlin bundle\, over the Jacobian – the space of Aharonov-Bohm fluxes through the holes of the surface. The rank of the Laughlin bundle is the \ndegeneracy of Laughlin states or\, in presence of quasiholes\, the dimension of the corresponding full many-body Hilbert space; its slope\, which is the first Chern class divided by the rank\, is the Hall conductance. We compute the rank and all the Chern classes of Laughlin bundles for any genus and any number of quasiholes\, settling\, in particular\, the Wen-Niu conjecture. Then we show that Laughlin bundles with non-localized quasiholes are not projectively flat and that the Hall current is precisely quantized only for the states with localized quasiholes. Hence our test distinguishes these states from the full many-body Hilbert space. Based on joint work with Dimitri Zvonkine (CNRS\, University of Paris-Versaille). \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/geometric-test-for-topological-states-of-matter/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Topological Quantum Matter Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-Topological-Seminar-09.21.22.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220921T110000
DTEND;TZID=America/New_York:20220921T120000
DTSTAMP:20240229T104238Z
CREATED:20230824T174949Z
LAST-MODIFIED:20240229T104238Z
UID:10001312-1663758000-1663761600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Limit and potential of adaptive immunity
DESCRIPTION:Active Matter Seminar\n\nSpeaker: Shenshen Wang\, UCLA\n\n\nTitle:  Limit and potential of adaptive immunity\n\nAbstract: The adaptive immune system is able to learn from past experiences to better fit an\nunforeseen future. This is made possible by a diverse and dynamic repertoire of cells\nexpressing unique antigen receptors and capable of rapid Darwinian evolution within an\nindividual. However\, naturally occurring immune responses exhibit limits in efficacy\,\nspeed and capacity to adapt to novel challenges. In this talk\, I will discuss theoretical\nframeworks we developed to (1) explore functional impacts of non-equilibrium antigen\nrecognition\, and (2) identify conditions under which natural selection acting local in time\ncan find adaptable solutions favorable in the long run\, through exploiting environmental\nvariations and functional constraints.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/title-tba/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Active Matter Seminar
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/CMSA-Active-Matter-Seminar-09.21.22.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220921T123000
DTEND;TZID=America/New_York:20220921T133000
DTSTAMP:20240502T145616Z
CREATED:20240214T114047Z
LAST-MODIFIED:20240502T145616Z
UID:10002705-1663763400-1663767000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Moduli spaces of graphs
DESCRIPTION:Colloquium\n\nSpeaker: Melody Chan\, Brown\n\nTitle: Moduli spaces of graphs\n\nAbstract: A metric graph is a graph—a finite network of vertices and edges—together with a prescription of a positive real length on each edge. I’ll use the term “moduli space of graphs” to refer to certain combinatorial spaces—think simplicial complexes—that furnish parameter spaces for metric graphs. There are different flavors of spaces depending on some additional choices of decorations on the graphs\, but roughly\, each cell parametrizes all possible metrizations of a fixed combinatorial graph. Many flavors of these moduli spaces have been in circulation for a while\, starting with the work of Culler-Vogtmann in the 1980s on Outer Space. They have also recently played an important role in some recent advances using tropical geometry to study the topology of moduli spaces of curves and other related spaces. These advances give me an excuse to give what I hope will be an accessible introduction to moduli spaces of graphs and their connections with geometry.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/collquium-92122/
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/CMSA-Colloquium-09.21.22.png
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