Geordie Williamson

Many of my (post pandemic) lectures can be found on the SMRI YouTube channel.

Notes from lectures:

• Notes from four lectures on tilting modules in Bonn.


• A course on group schemes and their representations.


• Ben and I gave another course (two weeks this time) on Soergel bimodules and higher representation theory at the MSRI. Videos and notes are here. Book should be coming soon!


• Notes on a seminar organised by Yohan Brunebarbe and myself on mixed Hodge modules.


• Videos of Lecture 1 and Lecture 2 of my contribution to the 18th Takagi lectures, Tokyo, November 2016. Lecture notes are here.


• Slides from my ECM talk, July 2016.

• Slides from my colloquium in Bonn, July 2016.


• Slides from my colloquium in Düsseldorf, July 2016.


• Slides from my colloquium in Zurich, April 2016.


• Slides from my talk in Cordoba, March 2016.


• Slides from my talk in Mooloolaba, December 2015.

• Slides from my colloquium in Berlin, November, 2015.


• My oberwolfach report from the finite groups meeting in April 2015.


• Slides from my talk at the DFG Darstellungstheorie Schwerpunkttagung in March, 2015.


• Jan 19-30 2015, Pisa, Italy. Perspectives in Lie Theory. I gave a 12 hour Illustrated guide to perverse sheaves.


• Slides from my talk at BRAG in Warwick.
  
  
• From October until December in 2013 I gave a course on Soergel bimodules and representation theory at the University of Sydney.
  
  
• In June 2013 I gave a talk at the Arbeitstagung in memory of Hirzebruch. Slides and a video is available here.
  
  
• In April and May 2013 I gave an IMPRS course "Topology of algebraic varieties and perverse sheaves".
  
  
• Here is my Oberwolfach report from the meeting "algebraic groups" in April, 2013.
  
  
• In March 2013, Ben Elias and I gave a master class on Soergel bimodules and Kazhdan-Polynomials. Videos of all lectures are here. Lecture notes are and exercises are available here.
  
  
• In Feb '13 I gave two seminar talks and a colloquium at MIT about my recent work with Ben Elias.
  
  
• In March '12 gave talks at the Oberwolfach meetings "Enveloping Algebras and Geometric Representation Theory" and "Representations of Finite Groups". My talks were related, and both reports are available here: Some applications of parity sheaves, Checking Lusztig's conjecture around the Steinberg weight.
  
  
• The week of the 27th of February, 2012 I gave a six hour lecture series on parity sheaves at the winter school Homogeneous Spaces and Geometric Representation Theory in Bochum organised by St�phanie Cupit-Foutou and Guido Pezzini. Preliminary lecture notes are available here.
  
  
• In June, 2011 I gave a three hour course on localisation in equivariant cohomology at the University of Melbourne at the invitation of Arun Ram. Lecture notes and exercise sheets are here.
  
  
• In May 2011, I gave a four hour course called "Kazhdan-Lusztig polynomials and intersection cohomology complexes on the flag variety" as part of a spring school Flag Varieties, organised by C�dric Bonnaf�. Scans of the lectures and slides are available here.
  
  
• In 2011 I gave a number of talks about the p-smooth locus in a variety of locations (Jussieu, Newcastle, Aberdeen). Notes of my talk (which contain a bit more detail than the talk itself) are here. Some pictures to illustrate what is going on.
  
  
• In 2011 I have given a number of talks about generators and relations for Soergel bimodules (Chamonix, Clermont-Ferrand, BMC in Leicester, Cambridge, Sydney, Ottawa, Amherst, Jussieu). Slides are here.

Teaching:

• Notes from my course (2nd Semester 2017, Sydney) on "Group schemes and representations".


• In Michaelmas term (2010) I taught Lie algebras (C2.1a). Click here for exercise sheets.


• In the Wintersemester 2012-13 I held the Algebra II lecture.

Notes from some lectures I found interesting:

• The decomposition theorem and the topology of algebraic maps
  Notes from lectures given by Luca Migliorini in Freiburg in February, 2010.
  
  
• Mirror symmetry, Langlands duality and the Hitchin system
  Notes from lectures given by Tamas Hausel in Oxford, Hilary Term, 2010. (Notes by Greg Berczi, Michael Groechenig and myself.)
  
  
• Six lectures on Deligne-Lusztig theory
  Notes from lectures given by Raphael Rouquier in Oxford, Hilary Term, 2010. (Notes from Lecture 5 by David Craven.)
  
  
• Character sheaves, tensor categories and non-abelian Fourier transform
  Notes from lectures given by Victor Ostrik in Luminy, September 2010. 2010.
  
  
• Koszul duality and applications in representation theory
  Notes from lectures given by Wolfgang Soergel in Luminy, September 2010.
  
  

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Here are some passages I enjoy.


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