Differential Geometry and Physics Seminar Speaker: Greg Moore, Rutgers University Title: Topics in the Relation of Four-Manifold Invariants and Supersymmetric Field Theory Abstract: We will begin with a review of topological twisting as a choice of background fields. We then review the standard paradigm for the formulation of Donaldson invariants as correlation functions in twisted supersymmetric […]
Differential Geometry and Physics Seminar Speaker: Mirjam Cvetic, University of Pennsylvania Title: Higher Symmetries, Eta Invariants and Anomaly Theories Abstract: In recent years, much progress has been made in understanding the extra-dimensional origin of higher symmetry structures of many quantum field theories (QFTs) obtained via geometric engineering. Among others, our understanding of anomaly structures in QFTs has […]
Differential Geometry and Physics Seminar Speaker: Vivek Shende (Syddansk Universitet & UC Berkeley) Title: Fukaya categories and higher representation theory Abstract: I will explain how Lagrangian Floer homology in certain monopole moduli spaces recovers the Khovanov homology and its relatives, by a description strikingly similar to the Oszvath-Szabo Heegard-Floer theory. I will also explain how the […]
Differential Geometry and Physics Seminar Speaker: Surena Hozoori (Brandeis) Title: Strongly adapted contact geometry of Anosov 3-flows Abstract: We will discuss some recent developments in the contact geometric theory of Anosov 3-flows, whose roots go back to the works of Mitsumatsu and Eliashberg-Thurston in the mid 1990s. In particular, we provide a contact geometric characterization […]
Differential Geometry and Physics Seminar Speaker. Emily Autumn Windes (New Uzbekistan University) Title: Gauge theory on Hyperkähler manifolds Abstract: In this talk, I describe various distinguished classes of connections on Hyperkähler manifolds and their dimensional reductions. Then, I describe a construction of new examples of Sp(2)-instantons, primitive HYM connections, and Spin(7)-instantons with symmetry on the manifold T*CP2. This talk […]
Differential Geometry and Physics Seminar Speaker: François Greer, MSU Title: Boundedness for K-trivial varieties with fibrations Abstract: According to the Beauville-Bogomolov decomposition theorem, any smooth K-trivial variety admits a finite cover by a product of (1) abelian varieties, (2) strict Calabi-Yau varieties, and (3) irreducible holomorphic symplectic varieties (IHSV). In a fixed dimension, all abelian varieties […]
Geometry and Mathematical Physics Seminar Speaker: Brian Williams, Boston University Title: Higher Virasoro algebras Abstract: I will introduce and classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured d-disk for d > 1. Then, I will formulate and sketch the proof of a formal and […]
Geometry and Mathematical Physics Seminar Speaker: Chuck Doran, CMSA & University of Alberta Title: Why do Feynman integrals know Calabi-Yau geometry? Abstract: Feynman integrals provide a rich source of Calabi-Yau geometry, but the geometric origin of these structures is often obscure. I will describe a simple point of view that begins with two-dimensional examples and […]
CMSA Q&A Seminar Speaker: Denis Auroux, Harvard Title: What is Lagrangian Floer homology?
Geometry and Mathematical Physics Seminar Speaker: Tobias Ekholm, Uppsala Title: Skein valued curve counts and associatives Abstract: We consider Lagrangians in the cotangent bundle of a 3-manifold that give branch covers the 0-section. A circle bundle over the cotangent bundle that degenerates over the Lagrangian gives an A_n-fibration over the base 3-manifold. We equip this A_n […]
Geometry and Mathematical Physics Seminar Speaker: John Alexander Cruz Morales, Universidad Nacional de Colombia Title: Towards a Hodge theoretic mirror symmetry for punctured surfaces Abstract: In their 1992 paper, “Ising Model and N=2 Supersymmetric Theories,” Cecotti and Vafa asserted that a certain hyperelliptic configuration space of chiral fields is mirror to the Ising model. Today, this statement can […]
Geometry and Mathematical Physics Seminar Speaker: Spiro Karigiannis, University of Waterloo Title: A tale of two Lie groups Abstract: The classical Lie group SO(4) is well-known to possess a very rich structure, relating in several ways to complex Euclidean spaces. This structure can be used to construct the classical twistor space Z over an oriented […]