Seminars Sorted by Series

Topology of Algebraic Varieties

Apr
29
2015

Topology of Algebraic Varieties

Derived categories of cyclic covers and their branch divisors
11:15am|S-101

Given a variety $Y$ with a rectangular Lefschetz decomposition of its derived category, I will discuss an interesting relation between the derived categories of a cyclic cover of $Y$ and its branch divisor. As examples, I will describe the cases of...

Towards 2-Dimensional Geometric Langlands Correspondence

Apr
17
2008

Towards 2-Dimensional Geometric Langlands Correspondence

H^3 and Gerbal Extensions
Xinwen Zhu
2:00pm|S-101

It is long expected that to study the representation theory of the double loop group and the corresponding Lie algebra, the third cohomology group should play an important role. The idea is that the third cohomology classes are naturally realized...

Towards 2-Dimensional Geometric Langlands Duality

Jan
17
2008

Towards 2-Dimensional Geometric Langlands Duality

Satake isomorphism for affine Kac-Moody groups
10:30am|S-101

In this talk we plan to define and study the spherical Hecke algebra for (untwisted) affine Kac-Moody groups over a local non-archimedian field. We shall prove a generalization of the Satake isomorphism for these algebras, relating it to integrable...

Truth and Beauty: Bombieri's Mathematical Gardens

Apr
12
2024

Truth and Beauty: Bombieri's Mathematical Gardens

On Effectivity for Integral Points on Some Curves of Genus 2
Umberto Zannier
2:40pm|Simonyi 101 and Remote Access

Most effective results for integral points on affine curves use the works of Baker or Bombieri on Diophantine approximation by S-units. Still, no completely general result is known already in genus 2. I will briefly present some recent work with...

Apr
12
2024

Truth and Beauty: Bombieri's Mathematical Gardens

G-functions ,Q-points, and Unlikely Intersections
Jonathan Pila
4:00pm|Simonyi 101 and Remote Access

I will describe a problem of unlikely intersections in a product of modular curves, tracing the problem itself and the tools for some results through the work of Enrico.

U.S. Income Tax Seminar for Members

Univalent Foundations Final Seminar

Apr
11
2013

Univalent Foundations Final Seminar

Homotopy Theory in Type Theory
``The Homotopy Group'' ( (1) Guillaume Brunerie, (2) Dan Licata, (3) Peter Lumsdaine)
11:00am|S-101

In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be described as "analytic", our approach is synthetic in the sense that, in ``homotopy type theory...

Univalent Foundations Organizational Meeting

Univalent Foundations Seminar