Week of Events
Analysis seminar: Peter McGrath (NCSU)
Title: Extremal Domains for the First Eigenvalue of the Laplacian. Abstract: The Faber-Krahn inequality asserts that the round balls uniquely minimize the first eigenvalue of the Laplacian among domains in R^n with fixed volume. In 1970, Serrin proved more generally that balls are the only critical points for the functional assigning a domain in R^n to […]
Algebraic Geometry Seminar: Junsheng Zhang (NYU)
Title: A weak transcendental base-point-freeness result on compact Kähler manifoldsAbstract: We prove a weaker version of the transcendental base-point-freeness conjecture using techniques from the relative minimal model program (MMP). As an application, we establish a lower bound for finite-time singularities of the Kähler–Ricci flow.
Topology Seminar: Hyun Kyu Kim (Korea Institute for Advanced Study)
Title: Skein algebras of genus zero surfaces and quantized K-theoretic Coulomb branchesAbstract: The Kauffman bracket skein algebra of an oriented surface S is a quantization of the SL(2) character variety of S, and is generated by isotopy classes of framed links living in S times an interval, modulo skein relations. The relative skein algebra quantizes the […]
Colloquium: Daniel Cristofaro-Gardiner (UMD)
Title: Symplectic Weyl laws and groups of area-preserving homeomorphisms. Abstract: The algebraic structure of the group of volume-preserving homeomorphisms of a manifold of dimension at least three has been well-understood since the work of Fathi from the 70s. However, the surface case has long remained a mystery. I will discuss joint work clearing up parts of […]