Past Events

Abstract

Abstract: I will discuss propagation of singularities of the magnetic Hamiltonian with singular vector potentials, which is related to the so-called Aharonov--Bohm effect. In addition, I shall discuss a Duistermaat--Guillemin type trace formula and meromorphic continuation of the resolvent, as…

When M is the exterior of a knot K in the 3-sphere, Lin showed that the signature of K can be viewed as a Casson-style signed count of the SU(2) representations of pi_1(M) where the meridian has trace 0. This was later generalized to the fact that signature function of K on the unit circle…

Certain exact complex-symplectic manifolds, such as hypertoric varieties and Nakajima quiver varieties, play a prominent role in parts of geometric representation theory.  I will talk about the wrapped Fukaya category of these manifolds. In particular, I will explain that the…

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In this talk, we will start by briefly reviewing the notion of the Iitaka dimension for vector bundles, introduced by E. C. Mistretta and S. Urbinati. Then we will discuss how to compute it in the toric geometry setting by studying the map defined by the global sections of a toric vector bundle…

Camera as Witness Stanford Arts presents the REFLECTIONS series celebrating the UN International Day of Women and…

Abstract

Smooth numbers are integers whose prime factors are all small (smaller than some threshold y). In the 80s they became important outside of pure math, because Pomerance's quadratic sieve algorithm for factoring integers relied on them and on their distribution.

The density of smooth…