Seminars Sorted by Series

This talk will cover sections 2 and 3 of "The symplectic arc algebra is formal" by Abouzaid-Smith

This talk will prove formality results for Fukaya categories in some examples following "The symplectic arc algebra is formal" by Abouzaid--Smith.

This talk is an introduction to the work of Witten on physical approaches to knots, especially based on hep-th 1101.3216. Classical approaches to the Jones polynomial are based on various combinatorial constructions which have the downside of not...

Consider $T^*P^1$ as the B-model of a mirror equivalence. It turns out that the A-model mirror depends on choices and I will describe two of these mirrors: one with underlying symplectic manifold the complement of a conic in $T^*S^2$, and the other...

I will discuss Lipshitz and Sarkar's space level refinement of Khovanov homology. Their approach is combinatorial in nature and is inspired by Cohen-Segal-Jones' construction for Floer homology.

We'll talk about various dimensional reductions of the HW equations and the connections to (de)categorification as we continue explaining their physical origins. Time permitting we will discuss (conjectural?) relations to Fukaya-Seidel categories.

We'll discuss how dimensional reductions of the Haydys-Witten equations are connected to Haydys's definition of the Fukaya-Seidel category. Time permitting we'll touch on connections to Donaldson-Thomas's vision of higher-dimensional gauge theory.

Most metals and ceramics are composed of many individual crystals fused together. Foams are composed of many individual bubbles. In both cases, as time passes, the picture evolves and coarsens. The average size of a crystal or a bubble increases....

I will review Hitchin's construction of the spectral curves and discuss the relation with endoscopy.

I will describe the construction the symmetries of the Hitchin fibration and the way in which the endoscopic groups appear in the variation of these symmetry groups.

I will formulate the geometric interpretation of the stabilization of (a part) of the geometric side of the trace formula for Lie algebra. The SL(2) case will be discussed in some details.

The first half of this talk will be devoted to describing Arthur's variant of the fundamental lemma for weighted orbital integrals. The second half will discuss a proof of the weighted fundamental lemma for Sp(4).

We give a geometric analog of the Weil representation of the metaplectic group, placing it in the framework of the geometric Langlands program. For a smooth projective curve X we introduce an algebraic stack \tilde\Bun_G of metaplectic bundles on X...

I will attempt to summarize the results in the following two papers, jointly written with R. Kottwitz and R. MacPherson: "Equivariant cohomology, Koszul duality, and the localization theorem" (Inv. Math., 1998) and "Homology of affine Springer...

I will continue the talk on October 20th. I will formulate the geometric interpretation of the stabilization of (a part) of the geometric side of the trace formula for Lie algebra. The SL(2) case will be discussed in some details.