Location: Stevenson 1425

Lauren Ruth, Vanderbilt University
Location: Stevenson 1308

We calculate the left-hand side and the right-hand side of the Baum-Connes correspondence for the pure braid group on four strands, each side relying on different techniques. This is joint work with Sara Azzali, Sarah Browne, Maria Paula Gomez Aparicio, and Hang Wang.

Teena Gerhardt, Michigan State University
Location: Stevenson 5211

Algebraic K-theory is an invariant of rings which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approach to computing algebraic K-theory uses equivariant homotopy theory, a branch of algebraic topology which studies topological objects with a group action. In this talk I will give an introduction to algebraic K-theory and its applications, and talk about modern methods to compute algebraic K-theory.

Yuanzhen Shao, University of Alabama
Location: Stevenson 1307

In 1995, Carlen and Loss proposed a novel approach to study the asymptotics the 2–D Navier–Stokes equation by using a Logarithmic Sobolev inequality. Later, this idea was adopted by Bonforte and Grillo to study the asymptotics of the Porous Medium Equation. In this talk, I will discuss how to derive various Sobolev type inequality involving fractional Laplacian. Then I will use these inequalities to study the smooth effect and asymptotic behavior of the Fractional Porous Medium Equation on complete Riemannian manifolds.

Brent Nelson, Michigan State University
Location: Stevenson 1432

Given an n-tuple $X$ of non-commutative random variables, its free Stein discrepancy relative to the semicircle law (the non-commutative analogue of classical Stein discrepancy relative to the Gaussian distribution) measures how “close” the distribution of $X$ is to the semicircle law. By considering free Stein discrepancies relative to a broader class of laws, one can define a quantity called the free Stein irregularity. I will discuss this quantity and show how it can be related to other free probabilistic quantities such as the free Fisher information and the non-microstates free entropy dimension. I will also show how it can be easily computed for a number of interesting examples. This is based on joint work with Ian Charlesworth.

Bogdan Chornomaz, Vanderbilt University
Location: Stevenson 1206

Jason Behrstock, CUNY
Location: Stevenson 1308

Hierarchically hyperbolic spaces provide a uniform framework for working with many important examples, including mapping class groups, right angled Artin groups, Teichmuller space, most cubulated groups, and others. In this talk I’ll provide an introduction to studying groups and spaces from this point of view, both describing new tools to use to study these groups and applications of those results. This talk will include joint work with Mark Hagen and Alessandro Sisto.

Doug Hardin, Vanderbilt University
Location: Stevenson 1320

Bin Gui, Rutgers University
Location: Stevenson 1432

Theodore Drivas, Princeton University
Location: Stevenson 1307

Genevieve Walsh, Tufts University
Location: Stevenson 1308

Talia Fernós, University of North Carolina, Greensboro
Location: Stevenson 1308

John Voight, Dartmouth College
Location: Stevenson 1320

Michael Ben-Zvi, Tufts University
Location: Stevenson 1308

Geng Chen, University of Kansas
Location: Stevenson 1307

Carolyn Abbott, Columbia University
Location: Stevenson 1308

Marie Jameson, University of Tennessee
Location: Stevenson 1320

Michael Hull, University of North Carolina, Greensboro
Location: Stevenson 1308