School of Mathematics Colloquium

On the Hot spots conjecture for Euclidean triangles.

by Dr. Sugata Mondal (TIFR, Mumbai)

Thursday, February 14, 2019 from to (Asia/Kolkata)
at AG-66
Let U be a convex subset of the Euclidean plane with piecewise
smooth boundary. The Hot spots conjecture due to J. Rauch says that a
global maxima of a second Neumann eigenfunction of U does not lie in the
interior of U. In this talk I will give a brief survey of the known
results and explain a new geometric approach that can be used to recover
some of the known results in an unified way. These results are part of an
on going joint project with Chris Judge.