AIS - The Laplacian in Riemannian Geometry (2024)

Venue: IISER Bhopal, Bhopal

Dates: 2 Dec 2024 to 14 Dec 2024


Convener(s)

 
Name: Dr. Atreyee Bhattacharya Dr. Anandateertha Mangasuli
Mailing Address: Room no. 301,
Academic Building 1 (Infinity building),
IISER Bhopal, Bhauri, bhopal Bypass Road,
Bhopal, Madhya Pradesh: 462066
Room no. 214,
Academic Building 1 (Infinity building),
IISER Bhopal, Bhauri, bhopal Bypass Road,
Bhopal, Madhya Pradesh: 462066
Email: atreyee at iiserb.ac.in anand at iiserb.ac.in

The Laplacian and its eigenvalues play a huge role in understanding various geometric (in particular, curvature) properties of a Riemannian manifold. In this advanced instructional school we would like to give an introduction to Riemannian geometry together with an overview of some of the useful aspects of Laplacian and its eigenvalues in relation with the global analysis of the manifold.