Cohomology and Support in Representation Theory and Related Topics

The theme of this two week conference will be a survey of the state of the art in the use of cohomology and support in the study of representation theory, commutative algebra, triangulated categories, and various related topics. The first week will be a preparatory summer school intended for graduate students, recent doctoral recipients, or others new to the field to introduce the fundamental ideas. Three speakers will each present a series of four lectures. The second week of the conference will consist of talks on latest develoments in the field with ample time for discussion and collaboration.

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Summer School Speakers:

• Paul Balmer, University of California - Los Angeles
  • "Descent techniques in modular representation theory"
• Dave Benson, University of Aberdeen
  • "Modules of constant Jordan type and vector bundles on projective spaces";
• Srikanth Iyengar, University of Nebraska - Lincoln
  • "Commutative algebra for modular representations of finite groups"

Workshop Speakers:

• Alejandro Adem, University of British Columbia
  • "Commuting elements and group cohomology"
• Luchezar Avramov, University of Nebraska - Lincoln
  • "Reverse homological algebra over local rings"
• Ragnar-Olaf Buchweitz, University of Toronto Scarborough
  • "Supports for the Singularity Category of a Gorenstein Algebra"
• Jon Carlson, University of Georgia
  • "Generic Kernels and other constructions"
• Christopher Drupieski, University of Georgia
  • "Second cohomology for finite groups of Lie type"
• Karin Erdmann, Oxford University
  • "Which selfinjective algebras have a support variety theory?"
• Rolf Farnsteiner, Christian-Albrechts-Universität zu Kiel
  • "Categories of modules defined by nilpotent operators"
• Eric Friedlander, University of Southern California
  • "Elementary subalgebras of restricted Lie algebras"
• David Hemmer, SUNY Buffalo
  • "Cohomology from modules for symmetric groups and modules for symmetric groups from cohomology of braid groups"
• Radha Kessar, University of Aberdeen
  • "A parametrisation of blocks of finite simple groups"
• Alexander Kleshchev, University of Oregon/University of Stuttgart
  • "Some new results on representations of KLR algebras"
• Markus Linckelmann, University of Aberdeen
  • "On the Hochschild cohomology of block algebras"
• Daniel Nakano, University of Georgia
  • "Complexity for modules over the classical Lie superalgebra gl(m|n)"
• Brian Parshall, University of Virginia
  • "p-filtrations of Weyl modules for semisimple groups"
• Alexander Premet, University of Manchester
  • "Humphreys' conjecture on small modular representations and finite W-algebras"
• Jeremy Rickard, University of Bristol
  • "Block decompositions of thick subcategories"
• Vera Serganova, University of California - Berkeley
  • "Associated varieties for algebraic supergroups and fiber functor"
• Greg Stevenson, Universität Bielefeld
  • "Singularity categories of complete intersections"
• Mark Walker, University of Nebraska-Lincoln
  • "Support for complete intersections via higher matrix factorizations"
• Peter Webb, University of Minnesota
  • "Perfect complexes of group representations"
• Sarah Witherspoon, Texas A&M University
  • "Varieties for modules of Hopf algebras"
• Fei Xu, Shantou University
  • "Cohomology and support varieties of finite transporter category algebras"

Click here for abstracts of these talks (pdf).

Poster Session:

There will be an opportunity for all interested participants to display a research poster during the workshop. Posters will be viewable informally on multiple days of the workshop. There will also be a scheduled formal poster session where presenters can discuss their work with other participants.

If you would like to display a poster, please email the organizers at pischool@math.washington.edu.

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Registration:

To register for the Summer School and/or Workshop, please click here and complete the on-line form.

Note: There will be a banquet on the evening of August 2. The cost is $30 per person for faculty (and guests) and $20 for graduate students. On the registration form, please complete the requested information about whether or not you plan to attend the banquet. Payment may be made at the conference.

Deadline for registering: July 17, 2012

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Funding Opportunities:

The deadline for applying for funding has now passed.

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Accommodations:

Participants who are not speakers or are not receiving travel support should reserve their own rooms. Hotel rooms in the area fill quickly, so participants are encouraged to make reservations early.

• Recommended hotel: University Inn
  • This has been endorsed by many visitors of the local organizer.
• A good option for families/children: University Motel
• Other Hotels near UW

PhD students and recent PhDs receiving funding from the Summer School will be housed (double occupancy) in McMahon Hall on the University of Washington campus for the duration of both the summer school and workshop. McMahon Hall (see map) is located about 5 minutes away (by foot) from both the main lecture room at Savery Hall and the discussion session rooms at Loew Hall.

Other participants, at their own expense can also stay in the university housing through the Visiting Scholars Program.

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Social Activities:

Field Trip to Volunteer Park:

• When: Saturday, July 28. We will leave as a group from McMahon Hall at 5:30pm.
• Where: Volunteer Park
• Cost: $5 total. You will need $2.50 for bus fare each way. Seattle busses require exact change.

Conference Banquet:

• When: Thursday, August 2
• Where: The University Club
• Cost: $30 per person for faculty (and guests) and $20 per person for graduate students.
• Deadline: To reserve a spot(s) at the banquet, please complete the conference registration form by July 17, 2012 indicating the number of attendees. Payment may be made at the conference.

Conference Party:

• When: Saturday, August 4
• Where: Steve Mitchell's house (directions)

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Travel Directions to the University of Washington:

• General travel directions to the UW Math Department
• UW Campus Maps

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Local Dining Information:

• On Campus Dining Options
• Off (But Near) Campus Suggestions
• urbanspoon
• SeattleDining.com
• yelp

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Local Activities:

• Local attractions in Seattle (pdf)
• Day hikes near Seattle (pdf)

• UW Math Department Visitor Information
• Professor Jack Lee's "Cool things to do in Seattle"
  

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Organizing Committee:

    Summer School

• Christopher Bendel, University of Wisconsin-Stout
• Henning Krause, Universität Bielefeld
• Daniel Nakano, University of Georgia
• Julia Pevtsova, University of Washington

    Conference

• Christopher Bendel, University of Wisconsin-Stout
  
• Henning Krause, Universität Bielefeld
• Julia Pevtsova, University of Washington

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Sponsoring Organizations:

• The National Science Foundation
• The National Security Agency
• Pacific Institute for the Mathematical Sciences
• University of Washington

Photo Credit: Thanks to CHAM|KAO photography for providing the campus photo for the conference poster.

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If you have any questions about the conference, please contact any of the organizers or send an email to pischool@math.washington.edu.

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Last updated: July 5, 2012.