Seminar
Mixed-platonic 3-manifolds: at the interface of algebra, combinatorics, and (hyperbolic) geometry
I'll introduce a class of cusped hyperbolic 3-manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type. For reasons I'll give in the talk, we are interested in such manifolds that are complements of knots in the three-sphere. One such "knot complement" has been known for some time to fit this description; whether there are any more is an open question.
Ugur Abdulla - Kolmogorov Problem and Wiener-type Criteria for the Removability of the Fundamental Singularity for the Elliptic and Parabolic PDEs
Liding Yao - The Cauchy-Riemann problem via extension operators
Will Pazner - TBA
Partially Symmetric Macdonald Theory
Introduction to arithmetic topology
Critical Probability of Multi-State Bootstrap Percolation on Random Graphs, Part 3
Motivic Classes of Varieties and Stacks with Applications to Higgs Bundles Part II
Abstract: We will continue talking about motivic classes. We will first review the motivic classes of varieties. Then we will focus on the motivic classes of stacks. In particular, we will give the explicit formulas for the motivic classes of moduli of Higgs bundles and bundles with connections.