18.708 Topics in Algebra. Spring 2018.

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Course description

Schedule

Problem sets

Instructors: Pavel Etingof, Davesh Maulik, Florian Naef, Giulia Sacca, Andrew Sutherland, Zhiwei Yun

Email: xxu@mit.edu

Office: TBA

Lectures: T Th 9:30 - 11:00 am, Room: 2-146

Other: Please see Below

Topics

The class will consist of 7 mini-courses delivered in order by

(1) Pavel Etingof: Drinfeld associators, Feb 6, 8, 13, 15; (Lecture 1)(Lecture 2)(Lecture 3)

(2) Florian Naef, The Kashiwara-Vergne conjecture, Feb 22, March 1, 6; (Lecture 1)(Lecture 2)(Lecture 3)

(3) Davesh Maulik, Rationally connected varieties, Feb 27, Mar 8, 13, 15; (Lecture 1 coveres the material in pages 37-47 of the book "Higher-dimensional algebraic geometry" by Olivier Debarre) (Lecture 2 and 3)

(4) Pavel Etingof, Differential Galois groups, Mar 20, 22, April 3; (Lecture 1 and 2)(Lecture 3)

(5) Giulia Sacca, Hilbert Schemes of points on Surfaces, April 5, 10, 12, 19; (Reference) (Lecture 1)(Lecture 2)(Lecture 3)(Lecture 4)

(6) Andrew Sutherland, Arithmetic equivalence of number fields and hearing the shape of the drum, Apr 24, 26, May 1, 3; (Lecture Description)(Lecture Note)

(7) Zhiwei Yun, Fourier transform after Deligne and Laumon, May 8, 10, 15, 17.(Lecture 1)(Lecture 2)(Lecture 3)(Lecture 4)

Prerequisites: 18.00 and 18.000

Text Book: TBA

RECENT UPDATE

[01.01.2010]  Welcome to the spring semester!