Courses in advanced mathematics from basics

Speaker: Todor Milanov (Kavli IPMU)
Title: An introduction to the theory of primitive forms (Part 2)
Date (JST): Fri, Apr 26, 2013, 15:30 - 17:30
Place: Seminar Room A
Related File: 926.pdf
Abstract: The goal in this lecture is to give an overview of K. Saito's theory of primitive forms. In the first part of the lecture I will give the definition of a primitive form and explain why it gives naturally a Frobenius manifold structure. In the second part of the lecture I would like to outline a construction of a primitive form based on Hodge theory and Birkhoff factorization. I will try to make my lecture accessible to physicists as well, but some basic knowledge of complex analytic or algebraic geometry, such as the notion of a coherent sheaf and Cech cohomology of a sheaf is desirable.