Upcoming Events
Dimer models (random lozenge or domino tilings) on large planar domains exhibit universality behavior: local convergence to translation-invariant Gibbs measures, global fluctuations described by the Gaussian Free Field (GFF), and Airy line ensemble at the edges. In this talk, I discuss two…
Symplectically self-polar convex bodies arise in convex geometry and dynamical systems. In this talk I will discuss these two perspectives.
On the convex-geometric side, Mahler’s conjecture on the volume product of a centrally symmetric convex body and its Euclidean polar is equivalent to…
Recently introduced by Guth and Manolescu, real Heegaard Floer homology is an invariant associated to 3-manifolds equipped with an involution. In this talk, we will see how under certain assumptions, the real Heegaard Floer homology groups admit an absolute Z/2 grading. We then specialize to…
A Littlewood polynomial fₙ(x) = ε₀ + ε₁x + ε₂x² + … + εₙxⁿ, where each coefficient εₖ is either +1 or −1. We prove that, almost surely, liminf as n → ∞ of log(max(|fₙ(x)| : x ∈ [−1,1]) / √n ) divided by (log log n)^(1/3) is equal to −(3π² / 4)^(1/3). This answers a question raised by Salem and…
The tautological ring for the moduli of Shtukas
Abstract: Many well-known moduli spaces have tautological classes, and it is an important question to study the structure of the subring they generate in cohomology. In this talk, we examine the tautological ring for the moduli of Shtukas,…