Conference 2017

An international conference on Future Directions in Representation Theory was held at the University of Sydney in the week of December 4-8, 2017.

Invited Speakers:

• Jonathan Brundan (Oregon), Heisenberg and Kac-Moody categorification
• Charlotte Chan (Michigan), Towards a p-adic Deligne-Lusztig theory
• Emily Cliff (UI Urbana-Champaign), Factorization structures on the cohomology of the Hilbert scheme of points of a surface
• Kevin Coulembier (Sydney), Tensor ideals, Deligne categories and Lie supergroups
• Olivier Dudas (Paris), Cohomology of Deligne-Lusztig varieties: a change of heart
• Michael Ehrig (Sydney), Relative cellular algebras
• Inna Entova-Aizenbud (Ben Gurion), Deligne categories and complexes of representations of symmetric groups
• Jessica Fintzen (IAS/Michigan/Cambridge), Representations of p-adic groups
• Peter Hochs (Adelaide), K-theory, fixed points and characters
• Anthony Licata (ANU), Artin groups and categorical actions
• Gunter Malle (Kaiserslautern), On Brauer's k(B) conjecture
• Peter McNamara (Queensland), Geometric extension algebras
• Hiraku Nakajima (RIMS Kyoto), Quiver gauge theories and Kac-Moody Lie algebras
• Arun Ram (Melbourne), Combinatorics of level 0 representations
• Simon Riche (Clermont Auvergne) [per Pramod Achar], Modular Koszul duality patterns in representation theory
• Laura Rider (Georgia), An Iwahori-Whittaker model for the Satake category
• Peng Shan (Tsinghua), On equivariant cohomology of Calogero-Moser spaces
• Monica Vazirani (UC Davis), The "Springer" representation of the DAHA
• Ben Webster (Waterloo/Perimeter Institute), Symplectic duality and KLR algebras
• Ting Xue (Melbourne), Springer correspondence for symmetric spaces
• Yaping Yang (Melbourne), A geometric construction of affine quantum groups
• Xinwen Zhu (Caltech), S-operators via the categorical trace

Here are the speakers' abstracts and a list of all registered participants. See the timetable below for the presenters in the poster session and their titles. Here is the conference photo taken on the morning of December 4.

Location

The conference was held in Lecture Theatre 1170 in the new Abercrombie Building, on the corner of Abercrombie St and Codrington St, in the Darlington part of the main Camperdown/Darlington campus of The University of Sydney. See the campus map and transport information.

Timetable and Other Events

Here is the timetable. In summary, talks started on the morning of Monday December 4 and finished on the afternoon of Friday December 8, with a free afternoon on Wednesday December 6 and the following special events.

• Poster session: There was a one-hour poster session from 14:00 on Monday December 4, in which 13 conference participants presented posters about their research (see the last page of the timetable). This poster session was made possible by the sponsorship of the University of Queensland.
• Conference dinner: The conference dinner on Thursday December 7 was a dinner cruise on Sydney Harbour operated by Magistic Cruises. The cost of this dinner cruise, subsidized by the sponsorship of the University of Sydney, was included in the registration fee of those who chose one of the rates with dinner.
• Gender diversity dinner: In addition to the conference dinner, there was a dinner on the evening of Tuesday December 5 celebrating gender diversity in representation theory, at Glass Brasserie wine bar. This dinner was provided by the sponsorship of the University of Sydney.

The conference was in the week preceding the annual conference of the Australian Mathematical Society at Macquarie University in Sydney, December 12-15, 2017.

Registration

Intending participants in the conference were required to register and pay the appropriate level of registration fee (see below) by Visa or MasterCard on the online payment form.

The registration fee was a contribution to the cost of the morning and afternoon teas which were provided throughout the conference, as well as the conference dinner cruise (if selected; see above for details).

The levels of registration fee were as follows:

• The full registration fee was A$187 (including Goods and Services Tax), or A$110 without the conference dinner.
• 20% discounted rate was A$149.60, or A$88 without the conference dinner. This rate was for ordinary members of the Australian Mathematical Society and all staff members of AMSI member institutions.
• 50% discounted rate was A$93.50, or A$55 without the conference dinner. This rate was for students, early-career researchers without grant support, retired researchers, and reduced-rate members of the Australian Mathematical Society.
• The rate for invited speakers was A$55, which includes the conference dinner.

The deadline for registration was Friday November 24, 2017.

Travel

International visitors coming to Australia for a conference need to obtain a visa prior to travel. For holders of passports from eligible countries, this could be an Electronic Travel Authority (subclass 601) or eVisitor visa (subclass 651) which can be obtained online at minimal or no cost. See the Department of Immigration and Border Protection Visa Finder tool for information adapted to your circumstances.

Australian participants please note: this event was sponsored by the Australian Mathematical Sciences Institute (AMSI), which allocates a travel allowance annually to each of its member universities (see the membership list). Students or early career researchers from AMSI member universities without access to a suitable research grant or other source of funding may apply to the Head of Mathematical Sciences for subsidy of travel and accommodation out of the departmental travel allowance. See here.

Organizing committee

• Chair: Anthony Henderson (Sydney)
• Pramod Achar (Louisiana State)
• Zsuzsanna Dancso (Sydney)
• Masoud Kamgarpour (Queensland)
• Geordie Williamson (Sydney)
• Oded Yacobi (Sydney)

Sponsorship

This conference was sponsored by the School of Mathematics and Statistics of the University of Sydney, the School of Mathematics and Physics of the University of Queensland, the National Science Foundation (USA), the Australian Mathematical Sciences Institute (AMSI) and the Australian Mathematical Society. Specific funding for some speakers came from Australian Research Council grants held by some of the organizers.