Math Calendar

Upcoming Events

February 15, 2016 (Monday), 3:10 pm

Square percolation with applications to random right-angled Coxeter groups

Victor Falgas-Ravry, Vanderbilt University
Location: Stevenson 1432

Motivated by applications to group theory, we study two global properties of random graphs. We determine the thresholds for G(n,p) being an `augmented suspension’ (AS) and being `constructible from squares’ (CFS). As a consequence of our work, we determine the threshold at which random right-angled Coxeter groups become thick of order one. Thickness is an inductively defined property of groups, which may be thought of as a geometric obstruction to Gromov’s notion of relative hyperbolicity, and has a number of applications in geometric group theory. For example, thickness of order one implies quadratic divergence for right-angled Coxeter groups. Our work also ties in with some intriguing probabilistic questions about subgraph percolation, most of which are poorly understood. Joint work with Jason Behrstock, Mark Hagen and Tim Susse.

February 17, 2016 (Wednesday), 2:30 pm

Graduate Student Tea

Location: Stevenson 1425

February 17, 2016 (Wednesday), 4:10 pm

Talk Title TBA

Volodymyr Nekrashevych, Texas A&M
Location: Stevenson 1310

February 19, 2016 (Friday), 3:10 pm

Around hyperbolic Coxeter polyhedra II

Matthieu Jacquemet, Vanderbilt University
Location: Stevenson 1310

In this second talk, we shall discuss recent results related to two natural classes of hyperbolic polyhedra : simplices, and Coxeter cubes. It time permits, we shall outline a couple of open problems which could be attacked by using these new results.

February 19, 2016 (Friday), 4:10 pm

Visual Transduction: A Signaling Paradigm Across Orders of Scale

Colin Klaus, Vanderbilt University
Location: Stevenson 1307

Visual Transduction in Rod and Cone photoreceptor cells is one of the best quantified G-protein signaling cascades known to biologists. Here photons of light are converted by biochemical processes into a system’s response by diffusion of the 2nd messengers cGMP and Ca2+. The morphology of these photoreceptor cells is striking and both highly regulated, highly ordered. In this talk, I will present on how the partial differential equations’ techniques of Homogenization and Concentrating Capacity may be used at once to capture the effects of this geometry and especially its disparate physical scales.

February 19, 2016 (Friday), 4:10 pm

Talk Title TBA

Yunxiang Ren, Vanderbilt University
Location: Stevenson 1432

February 25, 2016 (Thursday), 4:10 pm

Regularity of manifolds with bounded Ricci curvature and the codimension 4 conjecture

Jeff Cheeger, NYU
Location: Stevenson 5211

Let X^n denote the Gromov-Hausdorff limit of a noncollapsing sequence of Riemannian manifolds with uniformly bounded Ricci curvature. Around 1990, early workers, in particular, Mike Anderson, conjectured that apart from a (possibly empty) closed subset S of (Hausdorff) codimension greater or equal to 4, X^n is a smooth riemannian manifold. The example of limits of scaled down 4-dimensional complete noncompact Ricci flat spaces showed that such a result would be sharp. We will try to explain the statement of the conjecture and some of the ideas in the proof. This is joint work with Aaron Naber. Tea at 3:30 pm in SC 1425. (Contact Person: Marcelo Disconzi)

February 26, 2016 (Friday), 4:10 pm

Talk Title TBA

Noah Snyder, Indiana University Bloomington
Location: Stevenson 1432

February 26, 2016 (Friday), 4:10 pm

Talk Title TBA

Nem Kosovalic, University of South Alabama
Location: Stevenson 1307

March 3, 2016 (Thursday), 4:10 pm

Talk Title TBA

Robert L. Parker, UC San Diego
Location: Stevenson 5211

Tea at 3:30 pm in SC 1425. (Contact Person: Doug Hardin)

March 11, 2016 (Friday), 9:30 am

Shanks Workshop on Geometric Analysis, March 11 – 12, 2016

Location: Stevenson 1432

March 17, 2016 (Thursday), 4:10 pm

Talk Title TBA

Peter May, University of Chicago
Location: Stevenson 5211

Tea at 3:30 pm in SC 1425. (Contact Person: Anna Marie Bohmann)

March 18, 2016 (Friday), 4:10 pm

Talk Title TBA

Thomas Sinclair, Purdue University
Location: Stevenson 1432

April 8, 2016 (Friday), 4:10 pm

Talk Title TBA

Tilak Bhattacharya, Western Kentucky University
Location: Stevenson 1307

April 8, 2016 (Friday), 4:10 pm

Talk Title TBA

David Penneys, University of California, Los Angeles
Location: Stevenson 1432

April 14, 2016 (Thursday), 4:10 pm

Talk Title TBA

Alex Eskin, University of Chicago
Location: Stevenson 5211

Tea at 3:30 pm in SC 1425. (Contact Person: Mark Sapir)

April 21, 2016 (Thursday), 4:10 pm

Talk Title TBA

Robert Bryant, Duke
Location: Stevenson 5211

Tea at 3:30 pm in SC 1425. (Contact Person: Bruce Hughes)

April 22, 2016 (Friday), 4:10 pm

Talk Title TBA

Philip Crooke, Vanderbilt University
Location: Stevenson 1307