Graduate Student and Postdoc Summer School
June 18 - 22, 2018 (Monday - Friday)

Lecture Location: 127 Hayes-Healy
Registration/Break Location: 257 Hurley Hall

LECTURERS

T. Braden (UMass Amherst)
Introduction to category O and symplectic duality in the hypertoric setting

V. Ginzburg (Chicago)
Symplectic algebraic geometry and quantization.

K. McGerty (Oxford)
Localization theory in positive characteristic

B. Webster (Waterloo/Perimeter Institute)
Coulomb branches and their applications.

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SOME REFERENCES FOR THE SUMMER SCHOOL:

1) "On the geometry of symplectic resolutions", draft notes by Victor Ginzburg, available at:

https://pcmi.ias.edu/files/symp2015.pdf

2) "Gale duality and Koszul duality" Braden, Licata, Proudfoot and Webster: Advances in Mathematics (2012) or http://front.math.ucdavis.edu/0806.3256

3) "An introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories" Nakajima: 
https://arxiv.org/abs/1706.05154

4) "Localization of modules for a semisimple Lie algebra in prime characteristic," Bezrukavnikov, Mirković, Rumynin. Ann. of Math. (2) 167 (2008), no. 3, 945–991. 

5)  "Étale splittings of certain Azumaya algebras on toric and hypertoric varieties in positive characteristic," Stadnik: Adv. Math. 233 (2013), 268–290.

 

BACK TO THE 2018 CMND THEMATIC PROGRAM HOME PAGE

*** Participants may also be interested in a June 23-24 weekend meeting on "Higgs bundles" at the University of Illinois, Chicago, described at http://schapos.people.uic.edu/Higgs-2018.

Please feel free to contact us at cmnd@nd.edu with any questions.