This talk will be on certain new techniques for triangulated categories introduced by Neeman in a series of papers, which have been used to prove various new results and settling multiple open conjectures. We will give a broad overview of these techniques, and illustrate various applications in algebraic geometry. In particular, we will see a representability theorem and its application to a new proof of GAGA theorems, a result on transferring semiorthogonal decompositions, and a result on the non-existence of bounded t-structures for perfect complexes on singular finite-dimensional Noetherian schemes.
We all are familiar with the first order liquid-gas phase transition line ending at a critical point. This raises the question : Can a second order critical line have an end point such that we can go around that end point avoiding the criticality ? Such criticality would be then "unnecessary". In this talk, I shall discuss a simple example of a classical spin system in three spatial dimensions which shows such a transition. I will present our numerical calculations and discuss the mechanism of this unnecessary criticality.
Physics Seminar | Alladi Ramakrishnan Hall
Oct 21 16:01-17:15
Poonam Mehta | School of Physical Sciences, Jawaharlal Nehru University, New Delhi