Lecture Notes for some of my talks:
- Course on Representations of SL2 (2012 version): See Pavel Safronov's notes for my class, as well as my own notes:
Part 1: Basics and Fourier transform,
Part 2: Introduction to SL2C,
Part 3: Induced representations, Borel-Weil, Universal enveloping algebra,
Part 4: Spherical harmonics, characters, Verma modules,
Part 5: Harish Chandra modules, principal series,
Part 6: Unitary induction and intertwiners,
Part 7: Discrete series and hyperbolic space (more to come).
U. of Texas Austin, Spring 2012.
- Course on Representations of SL2 (2005 version):
Part 1,
Part 2, and
Part 3. U. of Texas Austin, Spring 2005.
- Khovanov homology. UT Austin Geometry and Strings Seminar,
10/06.
-
Loop Spaces and Langlands Parameters. Northwestern Conference
on Noncommutative Geometry. 5/07.
-
Langlands Duality for Character Theories IAS worksop on Gauge Theory
and Representation Theory, November 2007.
-
Character sheaves and real groups
IAS, February 2008.
-
Loop Spaces and
Connections, slides (!) from an Invited Address at the AMS Central Section Meeting,
Baylor University, October 2009.
Lectures by my collaborators on joint work:
David Nadler:
Langlands Duality for Character Sheaves. Northwestern TFT workshop, May 2009.
Character Sheaves. Urbana TFT session, March 2009.
Loop Spaces in Representation Theory -- notes by Denis Auroux from a lecture
series at the
Workshop on Homological Mirror Symmetry
(University of Miami, June 2008)
Langlands-Vogan-Mirror Duality Northwestern conference on
noncommutative geometry. May 2007.
Langlands duality for real groups
IAS conference on Algebro-Geometric Derived Categories. March 2008.
Tom Nevins:
Perverse Bundles and CM Spaces Northwestern conference on
noncommutative geometry. May 2007.
My Lectures on Geometric Langlands:
- Lecture notes and videos from the
2007 London Math Society Invited Lecture Series are
available here.
- Lecture series
Topological field theory and representation theory I-IV
from the Workshop
on Topological Field Theories at Northwestern University, May 2009. More notes
from the workshop are available
here.
-
Topological Field Theory and Geometric Langlands: notes
and audio and video
from a lecture series at the
KITP Santa Barbara workshop on Geometric Langlands and Gauge Theory, July 2009.
- Introduction to Geometric Langlands, notes from lecture
at the Vienna workshop on Geometric Langlands and Physics, January 2007.
- Lectures from the Gottingen Winterschule on Geometric Langlands:
Geometric function theory,
Geometric Langlands and Topological Field Theory
and
Geometric Langlands and Real Groups.
-
A three-part introduction to the
geometric Langlands program I gave in 2002 is available on streaming video
courtesy of MSRI: Geometric
Class Field Theory, Quantization
of Hitchin's Hamiltonians, and Factorization.
-
The February 2005 Talbot workshop (for
which I was the plenary speaker) provided an intense "Geometric
Langlands retreat" for graduate students.
There are notes available as one
huge file or as individual
pages courtesy of Megumi Harada.
-
What's
the deal with Geometric Langlands?: lecture notes taken by Parker
Lowrey for a talk I gave at the Algebraic Geometry Boot
Camp, a warmup workshop for graduate students attending the 2005
AMS Summer Institute in Algebraic Geometry, Seattle.
-
The Geometric
Langlands Program, audio for a lecture I gave at the
Workshop on Forms of Homotopy Theory: Elliptic Cohomology
and Loop Spaces at the
Fields Institute in Toronto, 2004.