talks for Analysis Seminar - Spring 2019
departmental seminar calendar
for additional information.The seminar meets at 3 pm on Mondays in Kassar 105 unless
Jan. 23 (4pm,Wed) Organizational Meeting
Jan. 28 Walter Strauss (Brown U.)
The Hilbert transform and water waves
Abstract: I'll begin with the 'finite' Hilbert transform C in a strip.
The fluid region of traveling water waves can be mapped onto a strip using
a conformal map. Then the equations of water waves with constant vorticity
omega can be written in terms of C. There are many such waves and their
properties depend on omega. We compare the waves, especially as they
depend on the sign of omega. Detailed properties of C come into play.
This is based on recent joint work with A. Constantin and E. Varvaruca.
Feb. 4 No seminar (job talks)
Feb. 11 No seminar (job talks)
Feb. 18 No seminar (Long Weekend)
Feb. 28 (Th,3pm) Jungang Li (U. Conn.) Macmillan 115
Hardy-Adams inequalities on hyperbolic spaces
Abstract: Hardy-Sobolev-Maz'ya inequalities play important roles in
analysis and partial differential equations. On upper half spaces,
sharp Hardy-Sobolev-Maz'ya inequalities with higher order derivatives
have recently been established by G. Lu and Q. Yang, with the help of
Fourier analysis on hyperbolic spaces. As the borderline case, we prove
Hardy-Adams inequalities on hyperbolic spaces. In this talk, we will
discuss the method of using Fourier analysis on hyperbolic spaces to
establish sharp geometric inequalities. I will then sketch the proof
of our result. This is a joint work with Guozhen Lu and Qiaohua Yang.
Mar. 4 John Wermer (Brown U.)
Mar. 11 Sergei Treil (Brown U.)
Mar. 18 Natalia Accomazzo (U. of the Basque Country)
Mar. 25 No seminar (Spring Recess)
Apr. 1 No seminar (Distinguished Lecture Series, T. Tao)
Apr. 22 Irina Mitrea (Temple U.)