K3 surfaces have a rich geometry and admit interesting
holomorphic automorphisms. As examples of Calabi-Yau manifolds,
they admit Ricci-flat Kähler metrics, and a lot of attention has
been devoted to how these metrics degenerate as the Kähler
class...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
Given a family of Lagrangian tori with full quantum corrections,
the non-archimedean SYZ mirror construction uses the family Floer
theory to construct a non-archimedean analytic space with a global
superpotential. In this talk, we will first briefly...
Differential delay equations arise very naturally, but they are
much more complicated than ordinary differential equations.
Polyfold theory, originally developed for the study of moduli
spaces of pseudoholomorphic curves, can help to understand...
A central problem in low-dimensional topology asks which
homology 3-spheres bound contractible 4-manifolds and homology
4-balls. In this talk, we address this problem for plumbed
3-manifolds and we present the classical and new results
together...
This is intended to complement the recent talk of Pham Huu Tiep
in this seminar but will not assume familiarity with that talk. The
estimates in the title are upper bounds of the form |χ(g)|≤χ(1)α,
where χ is irreducible and α depends on the size of...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
With an eye toward coordinating with the advanced course, we
will start with the representation theory of the symmetric group
and related combinatorics. We will focus on the functors of
induction and restriction. We will then consider related...
In the first part of this talk, I'll explain a geometric
categorification of the Hecke algebra in terms of perverse sheaves
on the flag variety. In the second part, we'll study the affine
Hecke algebra. In this case, there are two categorical...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
