# Upcoming Events

prove theorem 1.5, following sections 4.3–4.5

The Vafa Witten equations on 4-manifolds are the variational equations of a functional that generalizes one of the Chern-Simons functionals for SL(2;C) connections on 3-manifolds (and it reduces to that on products of a 3-manifold with the circle). Being that the moduli space of solutions…

Moy-Prasad filtration subgroups are generalization of congruence subgroups for $GL_n(Q_p)$ to a general $p$-adic reductive group $G(F)$. Moy-Prasad proved that any irreducible smooth representation of $G(F)$ has its restriction to a Moy-Prasad subgroup given by an irreducible representation (…

Semialgebraic graphs are a convenient way to encode many problems in discrete geometry. These include the Erdős unit distance problem and many of its variants, the point-line incidence problems studied by Szemerédi–Trotter and by Guth–Katz, more general problems about incidences of…

Abstract

Let W be a complete finite type Liouville manifold. One can associate to each closed subset K of W that is conical at infinity an invariant SH_W(K). I will first explain the construction of SH_W(K) and note how it recovers known invariants through special choices of K. Then, I will prove a big…

The theme for Student Analysis in the second half of fall quarter is geometric wave equations and wave maps. This will be the third talk on this theme.

Abstract

One of the earliest achievements of mirror symmetry was the prediction of genus zero Gromov-Witten invariants for the quintic threefold in terms of period integrals on the mirror. Analogous predictions for open Gromov-Witten invariants in closed Calabi-Yau threefolds can be …