Previous Special Year Seminar

I intend to cover some basic questions and material regarding the phenomena in the cohomology of an arithmetic group "at infinity" when the corresponding locally symmetric space originating with an algebraic $k$-group $G$ of positive $k$-rank is non...

"Beyond endoscopy", broadly interpreted, is the idea that functoriality should be realized as a comparison between stable trace formulas. The nature of this comparison, however, remains completely unclear.Broadening our scope to include the relative...

"Beyond endoscopy", broadly interpreted, is the idea that functoriality should be realized as a comparison between stable trace formulas. The nature of this comparison, however, remains completely unclear.Broadening our scope to include the relative...

According to Langlands, pure motives are related to a certain class of automorphic representations.Can one see mixed motives in the automorphic set-up? For examples, can one see periods of mixed motives in entirely automorphic terms? The goal of...

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.

I will discuss a construction of the homological mirror correspondence on algebraic integrable systems arising as moduli of flat bundles on curves. The focus will be on non-abelian Hodge theory as a tool for implementing hyper Kaehler rotations of...