Events

Algebra/Topology Seminar – Fraser Binns (Boston College)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: 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

Colloquium – David Wright, Washington University St. Louis

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: A Survey of the Illustrious Jacobian Conjecture Abstract: The celebrated Jacobian Conjecture asserts: Let F be a polynomial map from C^n to C^n.  If the jacobian determinant of F is everywhere non-vanishing, then F is a polynomial automorphism. This conjecture, now 82 years old and still unsolved for n>1, can be viewed as a

Colloquium – Professor David Gay (University of Georgia)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

**Refreshments will be served at 10:30 a.m. in 301 GP** The presentation will begin at 11:00 a.m. in 346 Gordon Palmer Hall Title: Smooth automorphisms of the 4‐dimensional sphere Abstract: This is a talk about smooth 4‐dimensional topology, in which the objects are smooth 4‐manifolds (spaces locally like R^4 equipped with the ability to do

Algebra Topology Seminar – Tucker Ervin (UA)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: 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

Analysis Seminar – Kabe Moen

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Best constants for maximal operators Abstract: In this talk I will survey some known results concerning best constants for the Hardy-Littlewood maximal operator and it’s variants.  We will go over the sharp one dimensional theory for the uncentered maximal function. We will also talk about best constants for the dyadic maximal function and some

Analysis Seminar – Ryan Alvarado (Amherst College)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: 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

AWM General Body Meeting

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Algebra/Topology Seminar – Subhankar Dey (University of Alabama)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Detection results in link Floer homology  Abstract: In this talk I will briefly describe link Floer homology toolbox and its usefulness. Then I will show how link Floer homology can detect links with small ranks, using a rank bound for fibered links by generalizing an existing result for knots. I will also show that stronger

Algebra/Topology Seminar – Heather Werth (University of Alabama)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Computation of extension spaces in $kQ$-mod, for $kQ$ the path algebra of a quiver $Q$ of type $\tilde A(n-1,1)$, using planar curves. Abstract: The representation theory of quivers is important to the representation theory of associative algebras in general. If $Q$ is a quiver of affine type $\tilde A(n-1,1)$ and $k$ a fixed algebraically

Algebra/Topology Seminar – Blake Jackson (University of Alabama)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Fixed Q under the reverse operation in the RSK correspondence  Abstract: The RSK correspondence is a bijection between permutations and pairs of standard Young tableaux with identical shape, where the tableaux are commonly denoted $P$ (insertion) and $Q$ (recording). It has been an open problem to demonstrate       where $w^r$ is the reverse permutation