Past Events

In 1985, Maier demonstrated that there are short intervals with exceptionally large or small numbers of primes. In this talk, I will discuss adapting Maier's matrix method to look at the small scale distribution of primes in three-term and four-term arithmetic progressions. I aim to highlight…

Recent years have witnessed tremendous progress in developing and analyzing quantum computing algorithms for quantum dynamics simulation of bounded operators (Hamiltonian simulation). However, many scientific and engineering problems require the efficient…

We will define a Bar-Natan homology for null homologous links in RP^3. As in the case for the usual Bar-Natan homology, this gives rise to a s-invariant and certain genus bound for null homologous knots in RP^3. More explicitly, it gives a genus bound for equivariant slice surface bounding the…

Abstract

A powerful heuristics in the study of Laplace eigenfunctions is that they behave like polynomials of degree proportional to the square root of the eigenvalue. We present an instance in which this polynomial behaviour can be made precise, namely we prove a version…

In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge invariant functions, which in particular includes arbitrary functions of Wilson loop observables.

This is based…

I will report on recent developments of the theory of monodromy groups of convergent and overconvergent F-isocrystals. These algebraic groups have been defined by Crew using the Tannakian formalism. After quickly recalling the definitions, I will explain the main ideas of the proof of …

TBA

In this talk, based on joint works with Nicholas Cook, Huy Tuan Pham and Sohom Bhattacharya, I will discuss recent developments in the study of the upper tails for counts of several fixed subgraphs in a large sparse random graph (such as Erdős–Rényi or uniformly d- regular). These…

tba

Curve classes on conic bundles threefolds and applications to rationality

Abstract: In this talk I'll discuss joint work with Sarah Frei, Lena Ji, Soumya Sankar and Bianca Viray on the problem of determining when a geometrically rational variety is birational to projective space…