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Talk by PDF
Speaker: Raman Kumar (IIT Bombay)
Title: Hybrid high-order method for the extended Fisher-Kolmogorov and the Fisher-Kolmogorov equations
Time, day and date: 12:00:00 PM - 1:00:00 PM, Wednesday, November 6
Venue: Ramanujan Hall
Colloquium:
Speaker: Umesh Dubey (HRI, Prayagraj)
Title:Tensor triangular geometry and equivariant categories
Time, day and date: 4:00:00 PM - 5:00:00 PM, Wednesday, November 6
Venue: Ramanujan Hall
Abstract: P. Balmer introduced tensor triangular geometry to analyze tensor
triangulated categories using methods from algebraic geometry, building
on the work of Benson, Carlson, Hopkins, Neeman, Thomason, and others.
This approach provides a unified framework for exploring various
homological and homotopical algebra aspects through geometric
techniques. Balmer provided a reconstruction of quasi-compact and
quasi-separated schemes from the derived category of perfect complexes.
One of the key questions in this area is the computation of the Balmer
spectrum.
When a group $G$ acts on a (tensor) triangulated category, it is
possible to define an equivariant category that exhibits a (tensor)
triangulated structure in certain cases. In ongoing joint work with
Vivek Mallick, we have studied the tensor triangular geometry of these
equivariant categories.
In this talk, we will discuss some significant results in tensor
triangular geometry and share updates on our work in progress with Vivek
Mallick.