## Analysis RTG student seminar

### Schedule of talks, Fall 2017

All talks will be held on Wednesdays, at 4pm, in B131 Van Vleck.
- October 20
- Speaker: Bingyang Hu
- Title: "The A2 Conjecture and Sparse Domination," after A. Lerner

- October 27
- Speaker: Bingyang Hu
- Title: "Some applications of Sparse domination theory"

- October 4
- Speaker: Geoff Bentsen
- Title: Fourier Restriction on Submanifolds of Codimension 2 (after Michael Christ)

- October 11
- Speaker: Geoff Bentsen
- Title: Fourier Restriction on Submanifolds of Codimension 2 (after Michael Christ)

- October 18 (Special Analysis Seminar in B131)
- Speaker: Jonathan Hickman (U Chicago)
- Title: Factorising X^n
- Abstract: Question: how many ways can the polynomial $X^n$ be factorised as a product of linear factors? Answer: it depends on the ring... In this talk I will describe joint work with Jim Wright investigating certain exponential sum estimates over rings of integers modulo N. This theory serves as a discrete analogue of the (euclidean) Fourier restriction problem, a central question in contemporary harmonic analysis. In particular, as part of this study, the question of counting the number of factorisations of polynomials over such rings naturally arises. I will describe how these number-theoretic considerations can themselves be approached via methods from harmonic analysis.

- October 25 (No seminar due to 3 other analysis talks this week). See analysis page for abstracts.
- Tuesday, October 24: Xiaochun Li (UIUC) at 4 in B139
- Thursday, October 26: Fedya Nazarov (Kent State) at 4 in B139
- Friday, October 27: Stefanie Petermichl (Toulouse) at 4 in B239

- November 1 (Special Analysis colloquium at 4 in B239)
- November 8: Jeremy Schwend,
*A restriction estimate using polynomial partitioning, after Larry Guth*
- November 15: Jeremy Schwend,
*A restriction estimate using polynomial partitioning, after Larry Guth*
- November 22 (No seminar due to Thanksgiving holiday)
- November 29: Michel Alexis,
*Endpoint Strichartz Estimates, after Keel-Tao*
- December 6: Michel Alexis,
*Endpoint Strichartz Estimates, after Keel-Tao*
- December 13 (No seminar)