8:00am 


9:00am 


10:00am 


11:00am 


12:00pm 


1:00pm 


2:00pm 
[2:30pm] Mathematics Colloquiumm: Parimala Raman, Emory University, Atlanta, GA, USA
 Description:
Mathematics Colloquiumm
Date and time: Thursday, 24 November 2022, 2.30 pm
Venue: Ramanujan Hall
Speaker: Parimala Raman, Emory University, Atlanta, GA, USA
Title: Quadratic forms over function fields
Abstract: A classical theorem of HasseMinkowski leads to the fact that
every quadratic form in at least five variables over a totally imaginary
number field represents zero nontrivially. One is naturally led to
similar questions concerning function fields of curves over totally
imaginary number fields. Do quadratic forms in a sufficiently large
number of variables represent zero nontrivially over these fields? This
is a big open question even for the rational function field in one
variable over a totally imaginary number field. The expectation is that
every quadratic form in at least nine variables over such a field
represents zero nontrivially; over function fields of padic curves,
every form in nine variables admits a nontrivial zero. We shall explain
some recent progress in this direction.


3:00pm 

4:00pm 
[4:00pm] Jérôme Vétois: McGill University
 Description:
Speaker: Jérôme Vétois (McGill University)
Time: November 24, Thursday, 4 pm (Indian Standard Time)
Title: Signchanging blowingup solutions to the Yamabe equation on a
closed Riemannian manifold
Abstract: In this talk, I will discuss the question of existence of
families of signchanging solutions to the Yamabe equation, which blow up
in the sense that their maximum values tend to infinity. It is known that
in the case of positive solutions, there does not exist any blowingup
families of solutions to this problem in dimensions less than 25, except
in the case of manifolds conformally equivalent to the round sphere
(Khuri, Marques and Schoen, 2009). I will present a construction showing
the existence of a nonround metric on spherical space forms of dimensions
greater than 10 for which there exist families of signchanging blowingup
solutions to this problem. Moreover, the solutions we construct have the
lowest possible limit energy level. As a counterpart, we will see that
such solutions do not exist at this energy level in dimensions less than
10. This is a joint work with Bruno Premoselli (Université Libre de
Bruxelles).
Google Meet joining info:
Video call link: https://meet.google.com/rmqijfzedh
Or dial: ‪(US) +1 2692240185‬ PIN: ‪997 320 446‬#


5:00pm 
[5:00pm] Nitin Nitsure
 Description:
Algebraic geometry seminar
Date and time: Thursday, 24 Nov. 2022, 5 pm
Venue: Ramanujan Hall
Speaker: Nitin Nitsure
Title: Stacks and moduli


6:00pm 

