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Graduate School will consist of lecture series and individual lectures
on certain aspects of algebraic geometry and geometric representation
theory. Themes within algebraic geometry will include moduli spaces of
sheaves on Calabi-Yau manifolds, and more generally moduli spaces of
objects in Calabi-Yau categories, especially their derived structures
in shifted symplectic geometry and shifted Poisson geometry, following
Calaque-Pantev-Toën-Vaquié-Vezzosi. A related set of lectures will
discuss different flavours of Donaldson-Thomas invariants including the
cohomological Hall algebra approach of Kontsevich-Soibelman. The
geometric representation theory strand will focus on Hall algebras and
higher Hall algebras, modern analogues of Beilinson-Bernstein
localisation, as well as aspects of quantization.
The Graduate School is funded by our
Programme Grant on 'Motivic
Invariants and Categorification'.
Dominic Joyce (Oxford), Kevin
McGerty (Oxford), and Balázs Szendrői
Chris Brav (HSE, Moscow)
Tom Bridgeland (Sheffield)
Emily Cliff (Illinois)
Adam Gal (Oxford) and Lena Gal (Oxford)
Dominic Joyce (Oxford)
Tom Nevins (Illinois)
Georg Oberdieck (MIT)
Nick Rozenblyum (Chicago)
Associated Clay Workshop, 25-29 September 2017
In the week following the Graduate School, 25-29 September 2017, there will be a Clay Workshop at the
Mathematical Institute in Oxford,
also titled 'Modern Moduli Theory', for which our Graduate School can
serve as a preparation. The workshop web page is at http://www.claymath.org/events/modern-moduli-theory.
It is one of four simultaneous Clay Workshops, all funded by the Clay
Mathematics Institute; the other three are on 'Ergodic
Theory: Numbers, Fractals and Geometry', 'Harmonic Analysis and Related Areas', and 'Nonlocal PDEs'.
For the middle day, Wednesday 27 September, the four Clay
Workshops come together for the 'Clay
Research Conference', at which there will be four colloquium-style
talks accessible to a general mathematical audience, given by Larry
Guth (MIT), Ovidiu Savin (Columbia), Bertrand Toën (Toulouse), and
Tamar Ziegler (HUJ), and the 2017 Clay Research Awards will be
presented. For all these events, registration is free but required -
the links above for more details.
We regret that our Graduate School is not able to offer any
for people to attend the Clay Workshops.
participants are expected to register, including speakers and Oxford
locals. There will be a charge of £25 for registration (exluding speakers), which will cover
the cost of tea and coffee breaks, conference packs, etc. Registration
opens on 1 April 2017. See the registration
page for details.
Funding and Accommodation
have a limited amount of funding available to support accommodation
costs for participants in Oxford. Preference will be given to PhD
students, and then early career researchers, in relevant areas. We
regret that we probably cannot support travel costs, except for speakers at the
school. When registration opens on 1 April 2017, there will be
instructions on how to apply for funding on the registration
page - please do not apply before then. Participants wanting
funding should register and apply by May 15th 2017.
Graduate students etc. whose accommodation costs are supported
by the Graduate School will be accommodated in student rooms belonging
to St Hugh's College. Speakers will be accommodated in the Linton Lodge hotel.
Other participants are requested to arrange their own accommodation.
Contact the organizers
Please send any e-mails concerning the Graduate School to email@example.com.