Upcoming Events

In this talk, I will discuss how to use algebro-geometric and Poisson geometric methods to study the representation theory of noncommutative algebras that are ‘close’ to being commutative. Such algebras will include the 3- and the 4-dimensional Sklyanin algebras, which are noncommutative…

For a bounded smooth planar domain Ω, we study the forced evolution problem for the 4th order PDE

(∂t2 Δ+∂x22)u(t,x)=f(x)cos (λt),   t≥ 0,   x∈Ω

with homogeneous initial conditions and…

Last week we saw an introduction to mapping class groups (of surfaces). This week we'll show that mapping class groups of surfaces are finitely generated, by studying its action on a certain "curve complex". If time permits, we'll study a specific generating set as well as its relations.

 By Faltings's Theorem, formerly known as the Mordell
Conjecture, a smooth projective curve of genus at least 2 that is
defined over a number field K has at most finitely many K-rational
points. Votja later gave a second proof. Many authors, including
Bombieri, de Diego,…

We define several equivariant concordance invariants using knot Floer homology. We show that our invariants provide a lower bound for the equivariant slice genus and use this to give a family of strongly invertible slice knots whose equivariant slice genus grows arbitrarily large, answering a…

Wave turbulence describes the dynamics of both classical and non-classical nonlinear waves  out of  thermal equilibrium. Recent mathematical interests on wave turbulence theory have the roots from the works of…