Seminars and Colloquia by Series

TBA by Yun Yang

Series
Time
Thursday, March 16, 2023 - 15:30 for 1 hour (actually 50 minutes)
Location
Speaker
Yun YangUniversity of Illinois Urbana-Champaign

Crossing the transcendental divide: from translation surfaces to algebraic curves

Series
Algebra Seminar
Time
Monday, February 27, 2023 - 10:20 for 1.5 hours (actually 80 minutes)
Location
Skiles 005
Speaker
Yelena MandelshtamUC Berkeley

A translation surface is obtained by identifying edges of polygons in the plane to create a compact Riemann surface equipped with a nonzero holomorphic one-form. Every Riemann surface can be given as an algebraic curve via its Jacobian variety. We aim to construct explicitly the underlying algebraic curves from their translation surfaces, given as polygons in the plane. The key tools in our approach are discrete Riemann surfaces, which allow us to approximate the Riemann matrices, and then, via theta functions, the equations of the curves. In this talk, I will present our algorithm and numerical experiments. From the newly found Riemann matrices and equations of curves, we can then make several conjectures about the curves underlying the Jenkins-Strebel representatives, a family of examples that until now, lived squarely on the analytic side of the transcendental divide between Riemann surfaces and algebraic curves.

TBD

Series
Algebra Seminar
Time
Monday, January 23, 2023 - 10:20 for 1.5 hours (actually 80 minutes)
Location
Skiles 005
Speaker
Dustin CartwrightUniversity of Tennessee

TBD

Prediction problems and second order equations

Series
Job Candidate Talk
Time
Thursday, December 15, 2022 - 11:00 for 1 hour (actually 50 minutes)
Location
Skiles 006 or https://gatech.zoom.us/j/98373229920
Speaker
Ibrahim EkrenFlorida State University

We study the long-time regime of the prediction with expert advice problem in both full information and adversarial bandit feedback setting. We show that with full information, the problem leads to second order parabolic partial differential equations in the Euclidean space. We exhibit solvable cases for this equation and discuss the optimal behavior of both agents. In the adversarial bandit feedback setting, we show that the problem leads to second order parabolic equations in the Wasserstein space which allows us to obtain novel regret bounds. Based on joint works with Erhan Bayraktar and Xin Zhang.

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