Math Department
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
Analysis 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 $F^{s,p}_q$
Analysis Seminar – Ryan Alvarado (Amherst College)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Optimal embeddings and extensions for Triebel-Lizorkin and Besov spaces in spaces in quasi-metric measure spaces. Abstract: Embedding and extension theorems for certain classes of function spaces in $\mathbb{R}^n$ (such as Sobolev spaces) have played a fundamental role in the area of partial differential equations. In this talk, we will discuss some recent work which
Algebra Topology Seminar – Tucker Ervin (UA)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Mutations of reflections and existence of pseudo-acyclic orderings for type An Abstract: In a recent paper by K.-H. Lee, K. Lee and M. Mills, a mutation of reflections in the universal Coxeter group is defined in association with a mutation of a quiver. A matrix representation of these reflections is determined by a linear ordering
Applied Math Seminar – Qiliang Wu (Ohio University)
ZoomTitle: Pearling and Localized Undulation of Bilayers in Amphiphilic Morphology Abstract: Amphiphiles, such as lipids and functionalized polymers, plays a central role in the self-assembly of solvent accessible, intricately structured nano-scaled network structures, which are vital in cell functionality and offer wide applications to drug delivery, detergent production, emulsion stabilization and energy conversion devices. We
Algebra/Topology Seminar – Fraser Binns (Boston College)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Some Link Detection ResultsAbstract: A central question in low dimensional topology is; how can we distinguish links? In this talk I will discuss various classical invariants which can help us do so, as well as the stronger invariant Knot Floer homology and, time permitting, annular Khovanov homology. Indeed, we will see that these latter
AWM Lunch and Learn
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesSymplectic topology of Brieskorn singularities – Cagri Karakurt (Bogazici University)
ZoomAbstract: Cagri will talk about some symplectic/contact topological aspects of Brieskorn singularities $x^p+y^q+z^r=0$. He’ll tell how to draw the surgery diagrams of their canonical contact structures and prove that the Milnor fiber $M(p,q,r)$ symplectically embeds into $M(p’,q’,r’)$ whenever $p\leq p’$, $q\leq q’$, and $r\leq r’$ by explicitly constructing a Stein cobordism between corresponding canonical contact