Summer Graduate School
|Location:||Fields Institute, Toronto Canada|
Higher categorical structures and homotopy methods have made significant influence on geometry in recent years. This summer school is aimed at transferring these ideas and fundamental technical tools to the next generation of mathematicians.
The summer school will focus on the following four topics: higher categorical structures in geometry, derived geometry, factorization algebras, and their application in physics. There will be eight to ten mini courses on these topics, including mini courses led by Chirs Brav, Kevin Costello, Jacob Lurie, and Ezra Getzler.
1. a first course in differential geometry, which contains knowledge covered by "Introduction to Smooth Manifolds"(John Lee).
2. a first course in algebraic topology, which contains knowledge covered by the book of "Algebraic Topology" (Allen Hatcher, http://www.math.cornell.edu/~hatcher/AT/ATpage.html).
3. a first course in abstract algebra/commutative algebra and algebraic geometry/homological alagebra, which contains knowledge covered by "Abstract Algebra" (David Dummit, Richard Foote), and Chapter I, II in "Algebraic Geometry" (Hartshorne).
Special restrictions (for MSRI Support):
- In addition to the nomination at MSRI, a separate application via the SMS Homepage is required to participate in this workshop.
- Participation is subject to selection by the organizers
- Due to the small number of students supported by MSRI, only one student per institution will be funded by MSRI. Additional students are highly encouraged to apply directly via the SMS Homepage