Past Events
Ricci solitons are singularity models in Ricci flow, so it is important to classify them. I will talk about some classification results of complete Kahler-Ricci solitons. In particular, we show that the example constructed by Feldman-Ilmanen-Knopf is the only non-trivial shrinking gradient…
I will talk about the problem of allocating indivisible goods to agents in order to optimize a certain welfare objective. Various objectives can be considered, the most natural being the summation of "valuation functions" of the participating agents. The "Nash social welfare" is an alternative…
Abstract: I will talk about some recent work on the global nonlinear
asymptotic stability of two families of solutions of the 2D Euler
equations: monotonic shear flows on bounded channels and point vortices
in the plane. This is joint work with Hao Jia.
…
Bows generalize quivers, forming the first step of the sequence: quiver, bow, sling, monowall.
Kronheimer and Nakajima discovered how quivers organize the data encoding all Yang-Mills instantons on Asymptotically Locally Euclidean spaces. Bows, in turn, organize data encoding…
The Izergin-Korepin analysis is originally a method to determine the exact forms of the domain wall boundary partition functions of the six-vertex model, which was originated in the works by Korepin and Izergin. In this talk, I will present the Izergin-Korepin analysis on the wavefunctions which…
Universality in disordered systems has always played a central role in the direction of research in probability and mathematical physics, a classical example being the Gaussian universality class (the central limit theorem). In this talk, I will describe a different universality class for random…
Skein modules were introduced by Józef H. Przytycki as generalisations of the Jones and HOMFLYPT polynomial link invariants in $S^3$ to arbitrary $3$-manifolds. The Kauffman bracket skein module (KBSM) is the most extensively studied of all. However, computing the KBSM of a $3$-manifold is known…
This will be a friendly introduction to topological K-theory, algebraic K-theory, and symplectic K-theory. We'll see ways we can connect or compare them to each other by considering their geometric interpretations.
Abstract: Let K be a number field, and denote the Dedekind zeta function of K by zeta_K(s). A classical question in number theory is: when does this zeta function vanish at the critical point s=1/2? First Armitage, and then Frohlich, gave examples of number fields which satisfy zeta_K(s)=0…