Abstract We will construct semiorthogonal decompositions of moduli of vector bundles on a curve C into the symmetric powers of C. As essential ingredients in the proof, we will develop
Abstract While classical statistics has dealt with observations which are real numbers or elements of a real vector space, nowadays many statistical problems of high interest in the sciences deal ...
Abstract In the light of Morse homology initiated by Witten and Floer, we construct two infinity-categories. One comes out of the Morse-Samle pairs and their higher homotopies, and the other stric...
Abstract In the course of three seminars we will discuss the classic constructions of Goodwillie calculus of functors. We are interested in the applications of this theory in unstable homotopy theo...
This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra
Abstract Birch and Swinnerton-Dyer conjecture is one of the most famous and important problem in pure math, which predicts deep relations between several invariants of elliptic curves defined over
