Tony Feng's website

Notes from PCMI 2015

Here are some notes I took during the PCMI Summer Session 2015 (as a participant of the Graduate Summer School). The lecture notes were live-TeXed, while the solution documents were written by me, but in discussion with many other participants. Everything here is unofficial, and all errors are mine.

Graduate Summer School Lectures

Zhiwei Yun, Introduction to Affine Springer Fibers and Hitchin Fibration

Problem Sheet 1
Problem Sheet 2
Problem Sheet 3
Some solutions (In progress)

Mark de Cataldo, Perverse Sheaves in Algebraic geometry

Official notes, with problems
Some solutions (In progress)

Xinwen Zhu, Introduction to Affine Grassmannians

Problem Sheets
Some solutions (In progress)

Davesh Maulik, Quantum Cohomology and Symplectic Resolutions

Ngo Bao Chau, Perverse Sheaves and Fundamental Lemmas

Problem Sheet 1
Problem Sheet 2
Problem Sheet 3
Some solutions (In progress)

Alex Braverman, Geometric Representation Theory and Quasi-maps into Flag Varieties.

Problem Sheet 1
Some solutions (In progress)

Hiraku Nakajima, Perverse Sheaves on Instanton Moduli Spaces.
- Unfortunately, I don't understand these lectures enough to write decent notes, but fortunately Nakajima has nice official notes.
- Problem Sheet 1
- Problem Sheet 2
Andrei Okounkov, Computations in Quantum K-Theory.

Official notes, with problems.

Victor Ginzburg, Symplectic Algebraic Geometry and Quiver Varieties.

Problem Sheets.