Fall 2022 analysis seminar

The 2022-2023 Analysis Seminar will be organized by Shaoming Guo. The regular time and place for the Seminar will be Tuesdays at 4:00 p.m. in Van Vleck B139 (in some cases the seminar may be scheduled at different time to accommodate speakers). If you would like to subscribe to the Analysis seminar list, send a blank email to analysis+join (at) g-groups (dot) wisc (dot) edu. If you are from an institution different than UW-Madison, please send as well as an additional email to Shaoming. If you'd like to suggest speakers for the spring semester please contact Shaoming.

All talks will be in-person unless otherwise specified.

Analysis Seminar Schedule

date	speaker	institution	title	host(s)
08.23	Gustavo Garrigós	University of Murcia	Approximation by $N$-term trigonometric polynomials and greedy algorithms	Andreas Seeger
08.30	Simon Myerson	Warwick	Forms of the Circle Method	Shaoming Guo
09.13 (first week of semester)	Zane Li	UW Madison	Title	Analysis group
09.20	Andrej Zlatoš	UCSD	Title	Hung Tran
09.23-09.25	RTG workshop in Harmonic Analysis			Shaoming Guo and Andreas Seeger
09.27 (online, special time)	Michael Magee	Durham	Title	Simon Marshall
10.04	Philip Gressman	UPenn	Title	Shaoming Guo
10.11	Detlef Müller	CAU Kiel	Title	Betsy Stovall and Andreas Seeger
10.18	(tent. reserved)		Title	Betsy Stovall
10.25	Milivoje Lukic	Rice	Title	Sergey Denisov
11.01	Ziming Shi	Rutgers	Title	Xianghong Gong
11.08	Robert Fraser	Wichita State University	Title	Andreas Seeger
11.15	Brian Cook	Virginia Tech	Title	Brian Street
11.22	Thanksgiving
11.29	(tent reserved)		Title	Betsy Stovall
12.06	Shengwen Gan	MIT	Title	Shaoming Guo and Andreas Seeger
12.13	tent. reserved		Title	Andreas Seeger and Brian Street

Abstracts

Gustavo Garrigós

Title: Approximation by $N$-term trigonometric polynomials and greedy algorithms

Abstract: [1]

Simon Myerson

Title: Forms of the circle method

Abstract: The circle method is an analytic proof strategy, typically used in number theory when one wants to estimate the number of integer lattice points in some interesting set. Traditionally the first step is to evaluate the innocent integral $ \int_0^1 e^{2 \pi i t n} dt $ to give 1 if $ n = 0 $ and 0 if $ n $ is any other integer. Since Heath-Brown’s delta-method in the 90s this simplest step has been embellished with carefully constructed partitions of unity. In this informal discussion I will interpret these as different versions of the circle method and suggest how to understand their relative advantages.

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Links to previous analysis seminars