Mode: In-person Title: Stability of spectral partitions with corners Abstract: Given the nth eigenfunction of the Laplacian on a manifold, its zero set partitions the manifold into at most n connected components, called nodal domains. Knowing when this upper bound … Continued
Mode: In-person Title: Cluster Structures on Double Bott-Samelson Cells Abstract: By the Bruhat decomposition theorem, relative positions between flags in G/B are encoded by the corresponding Weyl group W. Given a pair of positive braids (b,d) associated with the Weyl … Continued
Mode: In-Person Title: Exponential time-decay for a one dimensional wave equation with coefficients of bounded variation Abstract: We consider the initial-value problem for the one-dimensional wave equation with coefficients that are positive, constant outside of an interval, and have bounded … Continued
Mode: In-person Title: The dotted Temperley-Lieb category and handle-slides Abstract: Khovanov homology can be upgraded to an invariant of pairs (K,V) where K is a framed knot and V is an object of the dotted Temperley-Lieb category dTL. In this … Continued
Mode: In-person Title: A priori interior estimates for Lagrangian mean curvature equations Abstract: In this talk, we will introduce the special Lagrangian and Lagrangian mean curvature type equations. We will derive a priori interior estimates for the Lagrangian mean curvature … Continued
Mode: In person Title: Opers and Integrable Systems Abstract: I will explain how the geometric construction of opers (as well as its difference and elliptic generalizations) is related to quantum and classical integrable systems. Opers thereby provide a framework to … Continued
Mode: In-person Title: The P=W conjecture for GL_n Abstract: In 2010, de Cataldo-Hausel-Migliorini proposed a conjecture connecting topology of the Hitchin system and Hodge theory of the corresponding character variety via the non-abelian Hodge theory. This conjecture is now referred … Continued
Mode: In-person Title: Quantitative unique continuation for L 2 -restrictions of eigenfunction sequences Abstract: Let (M, g) be a C ∞ compact, Riemannian manifold and uh ∈ C ∞(M) be a sequence of L 2 -normalized Laplace eigenfunctions with (−h … Continued
Mode: In-person Title: Birational geometry of Beauville-Mukai systems on K3 surfaces Abstract: A Beauville-Mukai system on a K3 surface is a moduli space of stable torsion sheaves, which admits a Lagrangian fibration given by mapping each sheaf to its support. … Continued
Mode: In-Person Title: TBA Abstract: TBA
Mode: In- Person Title: The rim hook rule in equivariant quantum Schubert calculus via Bethe and Clifford algebras Abstract: It was proven by Bertiger, Milicevic and Taipale that the the strucutre coefficients in the equivariant quantum cohomology of a Grassmannian … Continued
Mode: In-person Title: A Friedland-Hayman inequality and two-phase free boundary problems Abstract: The Friedland-Hayman inequality provides a lower bound on the first Dirichlet eigenvalues of complementary subsets of the sphere. Inthis talk, we will discuss a variant of this inequality … Continued
