AIS - Geometric Analysis (2019)

Venue: IIT Bombay, Mumbai

Dates: 9 Dec 2019 to 28 Dec 2019


Convener(s)

 
Name: Prof. B K Das Prof. M Mukherjee
Mailing Address: Department of Mathematics,
IIT Bombay, Mumbai
Department of Mathematics,
IIT Bombay, Mumbai
Email: dasb at math.iitb.ac.in mukherjee at math.iitb.ac.in

Please Note:  Participants have to arrange for their own travel.

This AIS aims to address a range of topics that illustrate the interplay of analysis and geometry / topology in the broad sense, with particular emphasis on the Yamabe problem. In the first two weeks, we propose an ATM School where we will develop preliminary material on (nonlinear) functional analysis, harmonic/PDE (mainly elliptic) and differential geometry. The third week will be a more advanced workshop, where we will cover topics dealing with spectral theory of the Laplacian, prescribing Gauss curvature and critical exponent equations related to the Yamabe problem.