Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, March 12, 2020.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2020            March 2020             April 2020
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1    1  2  3  4  5  6  7             1  2  3  4
2  3  4  5  6  7  8    8  9 10 11 12 13 14    5  6  7  8  9 10 11
9 10 11 12 13 14 15   15 16 17 18 19 20 21   12 13 14 15 16 17 18
16 17 18 19 20 21 22   22 23 24 25 26 27 28   19 20 21 22 23 24 25
23 24 25 26 27 28 29   29 30 31               26 27 28 29 30



Thursday, March 12, 2020

2:00 pm in 347 Altgeld Hall,Thursday, March 12, 2020

#### Tracy-Widom distribution and spherical spin glass (Part II)

###### Qiang Wu (UIUC Math)

Abstract: I will talk about the connection between spherical spin glass(SSK) and random matrices, in particular, the fluctuation of free energy in SSK on low temperatures regime is given by GOE Tracy-Widom distribution.

4:00 pm in 245 Altgeld Hall,Thursday, March 12, 2020

#### Stability of roll wave solutions in inclined shallow-water flow

###### Kevin Zumbrun   [email] (Indiana University Bloomington)

Abstract: We review recent developments in stability of periodic roll-wave solutions of the Saint Venant equations for inclined shallow-water flow. Such waves are well-known instances of hydrodynamic instability, playing an important role in hydraulic engineering, for example, flow in a channel or dam spillway. Until recently, the analysis of their stability has been mainly by formal analysis in the weakly unstable or near-onset'' regime. However, hydraulic engineering applications are mainly in the strongly unstable regime far from onset. We discuss here a unified framework developed together with Blake Barker, Mat Johnson, Pascal Noble, Miguel Rodrigues, and Zhao Yang for the study of roll wave stability across all parameter regimes, by a combination of rigorous analysis and numerical computation. The culmination of our analysis is a complete stability diagram, of which the low-frequency stability boundary is, remarkably, given explicitly as the solution of a a cubic equation in the parameters of the solution space.