Upcoming seminars

Upcoming Seminars
Tue
09/16/2014
(today)
4:00pm
Seminar: Algebra
On the Distribution of Moonshine
Michael Griffin, Emory
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Venue: Mathematics and Science Center, Room W306
Monstrous moonshine expresses distinguished modular functions in terms of the representation theory of the Monster. The celebrated observations that \[ (*) 1=1, 196884=196883+1, 21493760=1+196883+21296876,\ldots \] illustrate the case of $J(z)=j(z)-744$, where the coefficients are sums of the dimensions of the 194 irreducible representations of the Monster. Such formulas are dictated by the structure of the graded monstrous moonshine modules. Here we use the modularity of the moonshine modules to address the open problem of obtaining exact formulas for the multiplicities of the irreducible components of the moonshine modules. These formulas imply that such multiplicities are asymptotically proportional to dimensions.
Mon
09/22/2014
(in 6 days)
4:00pm
Seminar: Algebra
An algebraic approach to enumerating field extensions
Frank Thorne, University of South Carolina
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Venue: Mathematics and Science Center, Room W302
Building on previous work of Cohen and several of his collaborators, I will discuss the use Kummer theory and class field theory to enumerate field extensions of low degree. We obtain an explicit Dirichlet series representation, in the form of a finite sum of Euler products, for the set of field extensions with Galois group $S_3, A_4, S_4$, or $D_l$ (l an odd prime) with fixed resolvent. This has a variety of interesting consquences, including results on the Shintani zeta function as well as an extension of the Scholz reflection principle, which I will describe. Most of this is joint work with Henri Cohen, and one part is also joint with Simon Rubinstein-Salzedo.
Fri
09/26/2014
(in 10 days)
12:00pm
Seminar: Numerical Analysis and Scientific Computing
Computing free surface flows of viscoplastic fluids
Maxim Olshanskii, University of Houston
Contact: Michele Benzi, benzi@mathcs.emory.edu
Venue: Mathematics and Science Center, Room W301
Free surfaces flows of yield stress fluids are common in nature and in engineering applications. Viscoplastic models, such as the Herschel-Bulkley model, are often used to describe the complex rheology of such fluids and predict fluids dynamics with reasonable accuracy. The numerical modeling and analysis of the phenomena is a challenging task due to the non-trivial coupling of complex fluid dynamics and free surface evolution.\\ \\ In this talk we discuss an approach for numerical simulation of free surface flows of viscoplastic incompressible fluids. The approach features adaptive Cartesian grids and a splitting technique for numerical time integration. We shall point to several open problems in the mathematical and numerical analysis of equations governing free surface flows of viscoplastic fluids.
Tue
09/30/2014
(in 14 days)
4:00pm
Seminar: Algebra
Title to be announced
Matt Ballard, USC
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Venue: Mathematics and Science Center, Room W306
Tue
10/07/2014
(in 21 days)
4:00pm
Seminar: Algebra
Title to be announced
Nick Addington, Duke
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Venue: Mathematics and Science Center, Room W306
Tue
10/21/2014
(in 35 days)
4:00pm
Seminar: Algebra
Title to be announced
David Jensen, University of Kentucky
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Venue: Mathematics and Science Center, Room W306
Thu
10/23/2014
(in 37 days)
4:00pm
Seminar: Ergodic Theory and Dynamical Systems
Title to be announced
Arnold Mandell,
Contact: Vaidy Sunderam, vss@emory.edu
Venue: Mathematics and Science Center, Room W301