Week of Events
Algebraic Geometry Preprint Seminar: Daniil Serebrennikov
Title: On L-equivalence for K3 surfaces and hyperkähler manifolds (following Meinsma)
Jason Altschuler
Negative Stepsizes Make Gradient-Descent-Ascent ConvergeSolving min-max problems is a central question in optimization, games, learning, and controls. Arguably the most natural algorithm is Gradient-Descent-Ascent (GDA), however since the 1970s, conventional wisdom has argued that it fails to converge even on simple problems. This failure spurred the extensive literature on modifying GDA with extragradients, optimism, momentum, […]
Number Theory Seminar: Giada Grossi (Université Sorbonne Paris Nord)
Title: From Automorphic Periods to Arithmetic: The Case of Hilbert Modular Forms Abstract: The theory of Euler systems, first developed by Thaine and Kolyvagin, has become a central tool for proving cases of the Birch–Swinnerton-Dyer and Bloch–Kato conjectures. Many of the known examples are inspired from automorphic period integrals that capture special values of L-functions. […]
Colloquium: Scott Armstrong (Sorbonne)
Title: Anomalous superdiffusion of Brownian motion in random incompressible flowsAbstract: We study Brownian motion advected by a stationary, divergence-free random drift whose spatial correlations decay slowly. Such long-range dependence is expected to produce {it superdiffusion}: for a typical realization of the drift, the variance of the displacement of the particle grows faster than linearly in time, […]
Geometric analysis seminar: Nick Edelen
Title: Entire area-minimizing surfaces in $R^4$ are algebraicAbstract: We classify entire 2-dimensional area-minimizing or stable surfaces in $R^4$ with quadratic area growth as algebraic, cut out by a finite union of holomorphic polynomials whose collective degrees are controlled by the density at infinity. As a consequence, we obtain bounds on the singular set size and […]