MenuEvents for 03/21/2016 from all calendars
Probability Seminar
Time: 11:00AM - 12:00PM
Location: BLOC 628
Speaker: Jae Oh Woo, UT Austin
Title: Discrete Entropy Power Inequalities
Abstract: We study several lower bound formulations of discrete entropy power inequalities over either integer or some cyclic groups Z/pZ for prime p. First, we build extended rearrangement inequalities of Hardy-Littlewood-P\'olya or Lev's rearrangement inequality. Second, we give a rearrangement inequality based on Sperner Theory. Then we show general lower bound formulations of discrete entropy power inequalities using majorization. If time permits, we show an interesting application to Littlewood-Offord problem. Joint work with Liyao Wang and Mokshay Madiman.
Algebra and Combinatorics Seminar
Time: 11:00AM - 12:00PM
Location: BLOC 628
Speaker: Jae Oh Woo, University of Texas at Austin
Title: Discrete Entropy Power Inequalities (--joint with Probability Seminar)
Abstract: We study several lower bound formulations of discrete entropy power inequalities over either integer or some cyclic groups \$\mathbf{Z}/p\mathbf{Z}\$ for prime \$p\$. First, we build extended rearrangement inequalities of Hardy-Littlewood-Polya or Lev's rearrangement inequality. Second, we give a rearrangement inequality based on Sperner Theory. Then we show general lower bound formulations of discrete entropy power inequalities using majorization. If time permits, we show an interesting application to Littlewood-Offord problem. Joint work with Liyao Wang and Mokshay Madiman.
Geometry Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 220
Speaker: Robert Williams, TAMU
Title: Galois groups of Schubert problems via symbolic computation
Abstract: The number of solutions to problems in the Schubert calculus is known through combinatorics. However, the actual solution set usually possess additional structure revealed through a Galois group. The method of computing Frobenius lifts from prime characteristic is particularly effective for finding information about this structure for Schubert problems. This talk will survey the results of using these methods to study all 31,807 Schubert problems involving 4-planes in 9-dimensional space.
