This is a reminder for the upcoming talk on Thursday 13 October. https://sites.google.com/math.iitb.ac.in/geometric-analysis/home Speaker: Luca Martinazzi (Sapienza University of Rome) Time: October 13, Thursday, 4 pm (Indian Standard Time) Title: Critical points of the Moser-Trudinger functional on closed surfaces Abstract: Given a 2-dimensional closed surface, we will show that the Moser-Trudinger functional has critical points of arbitrarily high energy. Since the functional is too critical to directly apply to it the known variational methods (in particular the Struwe monotonicity trick), we will approximate it by subcritical ones, which in fact interpolate it to a Liouville-type functional from conformal geometry. Hence our result will also unify and give common results for these two apparently unrelated problems. This is a joint work with F. De Marchis, A. Malchiodi and P-D. Thizy. Google Meet joining info Video call link: https://meet.google.com/cpu-tchr-nvu Or dial: ‪(US) +1 240-812-1225‬ PIN: ‪262 484 324‬#