Algebra/Topology Seminar – Alberto Cavallo (CIRGET/Renyi Institute)
ZoomTitle: Slice links and smooth 4-manifolds Abstract: We vary the trace embedding lemma in order to prove results about smooth, closed, simply connected 4-manifolds, studying smoothly slice links in them. We focus on homotopy 4-spheres, which are potential counterexamples to the smooth 4-dimensional Poincaré conjecture. In particular, we split them, as for exotic R^4's, in large and
AWM – Christina Glenn – Navigating Academia as a Woman of Color in STEM
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesDr. Christina Glenn is a biostatistician and she will talk about her background, give some tips to land a job in academia and present her current research.
Colloquium – Francois Dufour (University of Bordeaux)
ZoomTitle: Maximizing the probability of visiting a set infinitely often for a countable state space Markov decision process Abstract: This is a joint work with Tomas Prieto-Rumeau. In this talk, we consider a Markov decision process with countable state space and Borel action space. We are interested in maximizing the probability that the controlled Markov
Algebra/Topology Seminar – Orsola-Capovilla Searle (UC Davis)
ZoomTitle: Infinitely many Lagrangian Tori in Milnor fibers constructed via Lagrangian Fillings of Legendrian links Abstract: One approach to studying symplectic manifolds with contact boundary is to consider Lagrangian submanifolds with Legendrian boundary; in particular, one can study exact Lagrangian fillings of Legendrian links. There are still many open questions on the spaces of exact Lagrangian fillings
Algebra/Topology Seminar – Johnny Nicholson (Imperial College)
ZoomTitle: The homotopy type of a finite 2-complex with non-minimal Euler characteristic Abstract: Two presentations for a group G which have the same deficiency are called exotic if the corresponding presentation complexes are not homotopy equivalent. The first examples of exotic presentations were found by Dunwoody and Metzler in the 1970s but, owing to the difficulty of
Colloquium – Gieri Simonett (Vanderbilt University)
Title: Moving surfaces in geometry and physics Abstract: Moving surfaces are ubiquitous in many areas of mathematics and the applied sciences. In this talk I will first introduce some well-known geometric evolution equations, and then proceed to more complicated models that describe the motion of fluids and of materials that can undergo phase transitions.
Colloquium – Chi-Wang Shu (Brown University)
ZoomTitle: High order numerical methods for hyperbolic equations Abstract: Hyperbolic equations are used extensively in applications including fluid dynamics, astrophysics, electro-magnetism, semi-conductor devices, and biological sciences. High order accurate numerical methods are efficient for solving such partial differential equations, however they are difficult to design because solutions may contain discontinuities. In this talk we will
AWM General Body Meeting
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAnalysis Seminar – Simon Bortz (University of Alabama)
ZoomTitle: A free boundary problem for the heat equation. Abstract: In his breakthrough result, it was shown by Dahlberg that the L^2 Dirichlet problem for the Laplacian (harmonic functions) is solvable in the region above a Lipschitz graph. Dahlberg did this by showing a local reverse Hölder inequality for the Poisson kernel in such domains.
Analysis Seminar – Armin Schikorra (University of Pittsburgh)
ZoomTitle: A Harmonic Analysis perspective on $W^{s,p}$ as $s \to 1^-$. Abstract: We revisit the Bourgain-Brezis-Mironescu result that the Gagliardo-Norm of the fractional Sobolev space W^{s,p}, up to rescaling, converges to W^{1,p} as s\to 1. We do so from the perspective of Triebel-Lizorkin spaces, by finding sharp $s$-dependencies for several embeddings between $W^{s,p}$ and $F^{s,p}_q$