Applied Mathematics Seminar, Spring 2017

## Mondays 4:00 PM - 5:00 PM, LCB 222

• This seminar can be taken for credit: Students can get 1-3 credits by registering to the Applied Math Seminar class Math 7875 Section 010 for Spring 2016. Students should talk to the seminar organizer before taking it for a credit. Grading is based on attendance and giving a talk by presenting an applied-mathematics paper (not necessarily your own). Student talks will be appropriately labeled to distinguish them from visitor talks. The seminar organizer is available to review your slides, for dry-runs etc.
• Please direct questions or comments about the seminar (or its class) to Yekaterina Epshteyn (epshteyn (at) math.utah.edu)
• Talks are announced through the applied-math mailing list. Please ask the seminar organizer for information about how to subscribe to this list.

January 9. Special Applied Math Seminar.
Speaker: Ricardo Alonso, Department of Mathematics, PUC-Rio
Title: TBA
Abstract: TBA

January 18 (Wednesday). Special Joint Applied Math and Stochastics Seminar.
Note Time, Wednesday 4pm and Place JWB 335.

Speaker: Yu Gu, Department of Mathematics, Stanford University
Title: Fluctuations in stochastic homogenization -- when is the formal two-scale expansion valid?
Abstract: To analyze multiscale PDEs and investigate their asymptotic behaviors, a formal expansion is usually used to construct correctors and help proving the convergence. It is nevertheless a priori unclear whether those terms appearing in the expansion indeed represent the first and higher order errors. In other words, the expansion sometimes stays only on the formal level. In this talk, we will discuss the classical problem of stochastic homogenization of elliptic operators in divergence form, and identity the first and higher order random fluctuations. It turns out that the formal expansion may or may not indicate the right answer depending on the scales on which we make the measurement.
Part of the talk is based on joint work with J.-C. Mourrat.

January 30. Special Applied Math Seminar.
Speaker: Michele Coti Zelati, Department of Mathematics, University of Maryland College Park
Title: TBA
Abstract: TBA

February 13
Speaker: Vladimir Druskin, Schlumberger Doll Research
Title: TBA
Abstract: TBA

March 20
Speaker: Saverio Spagnolie, Department of Mathematics, University of Wisconsin-Madison
Title: TBA
Abstract: TBA

May 15
Speaker: Dmitriy Leykekhman, Department of Mathematics, University of Connecticut
Title: TBA
Abstract: TBA

Seminar organizer: Yekaterina Epshteyn (epshteyn (at) math.utah.edu).

155 South 1400 East, Room 233, Salt Lake City, UT 84112-0090, T:+1 801 581 6851, F:+1 801 581 4148