Events for 02/27/2024 from all calendars

Number Theory Seminar

Time: 09:45AM - 10:45AM

Location: BLOC 302

Speaker: Sumit Kumar, Alfréd Rényi Institute of Mathematics

Title: Hybrid level aspect subconvexity for L-functions

Abstract: Level aspect subconvextiy problem has always been elusive in number theory. In this talk we discuss history of the problem and prove the level aspect subconvexity for degree six GL(3) × Gl(2) Rankin-Selberg L-functions, when level of both the associated forms vary in some range. Joint work with Munshi and Singh.

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Claude Bardos, Laboratoire J.-L.Lions

Title: About large medium and shortime behavior of solutions of the collision of the Vlasov equation

Abstract: TBA

Nonlinear Partial Differential Equations

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Matthias Hieber, Technische Universität Darmstadt

Title: Analysis of Nematic Liquid Crystal Flows: The Ericksen-Leslie and the Q-Tensor Model

Abstract: In this talk we consider two models describing the flow of nematic liquid crystals: the Ericksen-Leslie model and the Q-tensor model. We discuss local as well as global well-posedness results for strong solutions in the incompressible and compressible setting and investigate as well equlibrium sets and the longtime behaviour of solutions. This is joint work with A. Hussein, J. Pruss and M. Wrona.

Topology Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 624

Speaker: Maggie Miller, University of Texas at Austin

Title: Branched covers of twist-roll spun knots

Abstract: Twist-roll spun knots are a family of 2-spheres that are smoothly knotted in the 4-sphere. Many of these 2-spheres are known to be branch sets of cyclic covers of the 4-sphere over itself (maybe counterintuitively to 3-dimensional topologists, since this never happens for nontrivial knots in the 3-sphere). It’s very difficult to come up with interesting examples of 2-spheres in the 4-sphere, so this family typically serves as the examples in any theorem about surfaces in the 4-sphere. I’ll discuss a few different versions of their construction and prove a relationship between some of their branched coverings. As a corollary, we’ll conclude that some interesting families of manifolds known to be homeomorphic are actually diffeomorphic. This is joint with Mark Hughes and Seungwon Kim.