Seminars and Colloquia by Series

Series: PDE Seminar
Thursday, October 11, 2018 - 15:00 , Location: Skiles 005 , Marc Sedjro , African Institute for Mathematical Sciences, Tanzania , Organizer: Yao Yao
In this talk, we introduce several models of the so-called forward-forward Mean-Field Games (MFGs). The  forward-forward models arise in the study of  numerical schemes to approximate stationary MFGs. We establish a link between these models and a class of hyperbolic conservation laws. Furthermore, we investigate the existence of solutions and examine long-time limit properties. Joint work with Diogo Gomes and Levon Nurbekyan.
Wednesday, October 10, 2018 - 16:00 , Location: Skiles 005 , David Borthwick , Dept. of Math. and Comp. Science, Emory University , Organizer: Michael Loss
Wednesday, October 10, 2018 - 13:55 , Location: Skiles 005 , Lenka Slavikova , University of Missouri , , Organizer: Michael Lacey
Wednesday, October 10, 2018 - 12:55 , Location: Skiles 006 , Josiah Park , Georgia institute of Technology , , Organizer: Galyna Livshyts
It has been known that when an equiangular tight frame (ETF) of size |Φ|=N exists, Φ ⊂ Fd (real or complex), for p > 2 the p-frame potential ∑i ≠ j | < φj, φk > |p achieves its minimum value on an ETF over all N sized collections of vectors. We are interested in minimizing a related quantity: 1/ N2 ∑i, j=1 | < φj, φk > |p . In particular we ask when there exists a configuration of vectors for which this quantity is minimized over all sized subsets of the real or complex sphere of a fixed dimension. Also of interest is the structure of minimizers over all unit vector subsets of Fd of size N. We shall present some results for p in (2, 4) along with numerical results and conjectures. Portions of this talk are based on recent work of D. Bilyk, A. Glazyrin, R. Matzke, and O. Vlasiuk.
Monday, October 8, 2018 - 14:00 , Location: Skile 006 , None , None , Organizer: John Etnyre
Friday, October 5, 2018 - 14:00 , Location: Skiles 005 , Jaiung Jun , University of Iowa , Organizer: Philipp Jell
In this talk, we introduce rather exotic algebraic structures called hyperrings and hyperfields. We first review the basic definitions and examples of hyperrings, and illustrate how hyperfields can be employed in algebraic geometry to show that certain topological spaces (underlying topological spaces of schemes, Berkovich analytification of schemes, and real schemes) are homeomorphic to sets of rational points of schemes over hyperfields.
Thursday, October 4, 2018 - 13:30 , Location: Skiles 006 , Daniel Minahan , Georgia Tech , Organizer: Trevor Gunn
Wednesday, October 3, 2018 - 16:30 , Location: Skiles 006 , James Anderson , Georgia Tech , Organizer: Xingxing Yu
Erdős and Nešetřil conjectured in 1985 that every graph with maximum degree Δ can be strong edge colored using at most (5/4)Δ^2 colors. In this talk we discuss recent progress made in the case of Δ=4, and go through the method used to improve the upper bound to 21 colors, one away from the conjectured 20.
Wednesday, October 3, 2018 - 13:55 , Location: Skiles 005 , Allysa Genschaw , University of Missouri , , Organizer: Michael Lacey
We prove a criterion for nondoubling parabolic measure to satisfy a weak reverse H¨older inequality on a domain with time-backwards ADR boundary, following a result of Bennewitz-Lewis for nondoubling harmonic measure.
Wednesday, October 3, 2018 - 12:55 , Location: Skiles 006 , Xingyu Zhu , Georgia Institute of Technology , , Organizer: Galyna Livshyts