## Calendar for Math Grad Talks

All talks are Mondays at 12:00pm in 119 Physics, except as noted. All are welcome to attend; talks are aimed primarily at those who have at least begun graduate study in mathematics. The purpose of these talks is to provide an informal and social setting in which department members can show each other what they're working on. While grad student attendance is not mandatory, it is extremely useful to see what research looks like as opposed to classwork.
For more information about our talks, or if you would like to give one, please contact Shan Shan or Sarah Ritchey.

**Upcoming Seminars:**
- Monday, September 23, 2019, 12:00pm, Physics 119, Graduate/faculty Seminar

*Static/quasi-static/dynamic models of dislocations: wellposedness and exponential convergence to equilibrium*

Yuan Gao (Duke University)
- Materials defects such as dislocations are important line defects in crystalline materials and they play essential roles in understanding materials properties like plastic deformation. In this talk, I will first talk about the mathematical validation of the static PN models for both straight and curved dislocation line by establishing the relationship between the PN model in the full space and the reduced problem on the slip plane in terms of both governing equations and energy minimizers. Then we study the relaxation process of dynamic Peierls-Nabarro dislocation model, which is a gradient flow with infinite nonlocal energy and double well potential describing how the materials relax to its equilibrium with the presence of a dislocation. We will show the dynamic solution will converge exponentially to a shifted steady profile which is uniquely determined.

- Monday, October 14, 2019, 12:00pm, 119 Physics, Graduate/faculty Seminar

*Hodge Representation*

Xiayimei Han (Duke University)
- Thursday, October 31, 2019, 3:00pm, TBA, Graduate-Sponsored Colloquium

*TBA*

Jacob Lurie (Institute for Advanced Study)
- TBA

- Monday, November 25, 2019, 12:00pm, 119 Physics, Graduate/faculty Seminar

*TBD*

Marc Ryser (Duke University)

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