Perspectives in algebraic Lie theory

Workshop theme

This is a follow-up workshop of the six-month programme Algebraic Lie Theory held in 2009. That programme generated a great deal of interest and served as a stimulus in the research community.

The aim of this workshop is to bring together some of researchers who made major contributions during the 2009 programme to report on the current state of the developments, to see to what extent the theory has evolved since then. Moreover, the workshop should serve as a means to present new results in the field specifically those which have been initiated or founded by participants of the 2009 programme during their stay at INI. Highlights of the workshop will involve further developments in the categorification and geometrisation in Lie theory and representation theory. It is expected that new developments in algebraic Lie theory, e.g., categorification and geometric methods and latest developments in the representation theory of affine and finite W-algebras, each will play a major role.

The workshop gratefully acknowledges financial support from the EPSRC-funded programme network "Representation Theory across the Channel" as well as the DFG-funded priority programme in "Representation Theory".

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Perspectives in algebraic Lie theory, where work on this paper was undertaken. This work was supported by EPSRC grant EP/F005431/1.

Timetable

Monday 12th September 2011
09:00 to 10:00	Registration	No Room Required
10:00 to 11:00	Jon Brundan University of Oregon Koszulity of the walled Brauer algebra	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Toshiyuki Tanisaki Osaka City University Differential operators on quantized flag manifolds	Room 1
12:30 to 13:30	Lunch	No Room Required
14:00 to 15:00	Dmitriy Rumynin University of Warwick Double Cells and Representations	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Ben Webster University of Oregon Categorification, canonical bases and knot invariants	Room 1
16:30 to 17:00	Drinks reception	No Room Required

Tuesday 13th September 2011
09:00 to 10:00	Radha Kessar University of Aberdeen Quasi-isolated blocks of exceptional groups	Room 1
10:00 to 11:00	Geordie Williamson University of Oxford Some applications of parity sheaves	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch	No Room Required
14:00 to 15:00	Geoffrey Robinson University of Aberdeen Some remarks on endomorphism rings and realizability questions	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Karin Erdmann University of Oxford Lie powers for general linear groups and Lie modules for symmetric groups	Room 1

Wednesday 14th September 2011
09:00 to 10:00	Extensions of tempered representations and R-groups	Room 1
10:00 to 11:00	Wolfgang Soergel Albert-Ludwigs-Universität Freiburg Koszul duality in positive characteristic	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Alexander Premet University of Manchester Hesselink stratification of nullcones and base change	Room 1
12:30 to 13:30	Lunch	No Room Required
14:00 to 15:00	George Lusztig Massachusetts Institute of Technology On disconnected reductive groups	Room 1
15:00 to 15:30	Tea	No Room Required
19:30 to 22:00	Conference dinner at Peterhouse	Room 1

Thursday 15th September 2011
09:00 to 10:00	Simon Goodwin University of Birmingham Representations of finite W-algebras associated to classical Lie algebras	Room 1
10:00 to 11:00	Simon Riche Université Blaise Pascal Perverse sheaves on affine Grassmanians and geometry of the dual group	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Tomoyuki Arakawa Kyoto University Localization of affine W-algebras at the critical level	Room 1
12:30 to 13:30	Lunch	No Room Required
14:00 to 15:00	Peter Fiebig Friedrich-Alexander-Universität Erlangen-Nürnberg On critical level representations of affine Kac-Moody algebras	Room 1
15:00 to 15:30	Tea	Room 1

Friday 16th September 2011
09:00 to 10:00	The Odd NilHecke algebra	Room 1
10:00 to 11:00	Eric Vasserot Université Paris 7 - Denis-Diderot Categorification and finite dimensional modules of DAHA	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Daniel Juteau CNRS - Université de Caen Basse-Normandie Singularities in nilpotent cones of exceptional type	Room 1
12:30 to 13:30	Lunch	No Room Required
14:00 to 15:00	Arun Ram University of Melbourne Elliptic Schubert calculus	Room 1
15:00 to 15:30	Tea	Room 1

Speakers

Tomoyuki Arakawa Kyoto University
Jon Brundan University of Oregon
Karin Erdmann University of Oxford
Peter Fiebig Friedrich-Alexander-Universität Erlangen-Nürnberg
Simon Goodwin University of Birmingham
Daniel Juteau CNRS - Université de Caen Basse-Normandie
Radha Kessar University of Aberdeen
George Lusztig Massachusetts Institute of Technology
Alexander Premet University of Manchester
Arun Ram University of Melbourne
Simon Riche Université Blaise Pascal
Geoffrey Robinson University of Aberdeen
Dmitriy Rumynin University of Warwick
Wolfgang Soergel Albert-Ludwigs-Universität Freiburg
Toshiyuki Tanisaki Osaka City University
Eric Vasserot Université Paris 7 - Denis-Diderot
Ben Webster University of Oregon
Geordie Williamson University of Oxford

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Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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