Research in Mathematics 2015

Topology of Moduli Spaces and Representation Theory

Complementing the highly structured Graduate Summer School, which is directed at younger mathematicians, the Research Program in Mathematics addresses the needs of mathematicians who are already carrying out research. The program offers advanced scholars the opportunity to do research, collaborate with their peers, meet outstanding students, and explore new teaching ideas with professional educators. It is designed to introduce active areas of research by focusing on a specific topic. The informal format generates lively exchanges of views and information between established and newer researchers.

The 25th Annual PCMI Summer Session will be held June 28 – July 18, 2015.

Click HERE to apply to the Research Program.

2015 Research Program in Topology of Moduli Spaces and Representation Theory

Organizers: Roman Bezrukavnikov, MIT; Alexander Braverman, Brown University; and Zhiwei Yun, Stanford University

Some lectures on these topics will be accessible to advanced graduate students and postdocs, while others will be intended for more specialized working groups.

A primary goal of the research program is to foster the collaboration of a diverse group of participants. Regular seminars will be held giving the Research Program participants an opportunity to give a seminar if they choose. (The organizers will draw up a schedule in consultation with the participants.) There will be plenty of time for work and informal discussions.

Representation theory is a meeting point for ideas and methods originating in topology, algebraic geometry and number theory, the program will focus on exposition of existing interactions between these subjects and developing new ones. Thus, a second goal of this program is to exchange ideas and kickstart new collaborations between researchers with different areas of expertise.

New and recent PhD’s are especially encouraged to apply if they are working on questions related to Representation Theory and Algebraic Geometry.


Independent Researchers

Researchers in other areas of mathematics who have independent funding are invited to apply for participation in the PCMI Summer Session. All programs and facilities will be available to these participants, although lodging space may be limited. Introductory courses and joint education/research activities may be of particular interest. Researchers interested in becoming involved with a future Summer Session may wish to use this opportunity to get acquainted with the program. Small groups of collaborators from geographically separate areas are particularly welcome to apply.