Warwick EPSRC Symposium 2015

Derived Algebraic Geometry,
with a focus on derived symplectic techniques

During the 2014-15 Warwick EPSRC Symposium on Derived Categories and Applications,
there will be a two week activity on symplectic techniques in derived algebraic geometry.

In the first week there will be a series of lectures introducing the topic,
accompanied by informal talks, then the conference will take place in the second week.

Monday, April 6	Easter holiday.
Tuesday, April 7  -  Saturday, April 11	Pre-conference concentration period and school.
Sunday, April 12	Organized country walk. Meet at 10:00 am at the Maths Department.
Monday, April 13  -  Friday, April 17	Conference.

Concentration period and school

April 7, 2015  -  April 11, 2015

Courses by

• Benjamin Antieau
  Introduction to derived algebraic geometry
• Kai Behrend
  Introduction to shifted symplectic structures
• Damien Calaque
  Applications of shifted and Lagrangian structures to topological field theories
• Domenico Fiorenza
  Differential graded Lie algebras and formal moduli problems
• Tony Pantev
  Shifted deformation quantization
• Pavel Safronov
  Hamiltonian reduction in derived symplectic geometry

Schedule: April 7 - April 11.
All lectures are in Maths, Room B3.03

	Tuesday	Wednesday	Thursday	Friday	Saturday
10:00-11:00	Antieau	Antieau	Fiorenza	Antieau	Fiorenza
11:30-12:30	Behrend	Behrend	Safronov	Behrend	Pantev
Lunch
14:00-15:00	Calaque	Calaque	Calaque	Fiorenza	Safronov
15:30-16:30	Safronov	Pantev	Schapira*	Pantev
17:00-18:00	Problems	Problems		Problems

*Special talk by Pierre Schapira: Perverse sheaves associated with two Lagrangians


Conference

April 13, 2015  -  April 17, 2015

Schedule: April 13 - April 17.
All lectures are in Maths, Room B3.03

	Monday	Tuesday	Wednesday	Thursday	Friday
10:00-11:00	Pridham	Brav	Ginzburg	Gwilliam	Vaquié
11:30-12:30	Bouaziz	Joyce	Tsygan	Sibilla	Melani
Lunch
14:00-15:00	Soibelman	Katzarkov		Davison	Baranovsky
15:30-16:30	Rozenblyum	Getzler		Ben-Bassat	Kapranov
17:00-18:00		Xu
18:00		Dinner*		Banquet**

*Dinner in the Maths Common Room.
**Formal banquet: £10. More details to follow. Please sign up.


Talk Titles

• Baranovsky:  Formal Geometry and Quantization of Sheaves
• Ben-Bassat:  Multiple Lagrangian Intersections
• Bouaziz:  Derived symplectic loop schemes
• Brav:  A Darboux theorem for shifted symplectic derived stacks
• Davison:  Integrality of DT invariants and Yangian actions
• Getzler:  Higher groupoids
• Ginzburg:  Indecomposable objects and potentials over a finite field
• Gwilliam:  Anomalies and families of Batalain-Vilkovisky field theories
• Joyce:  Categorification of -1-shifted symplectic derived schemes using perverse sheaves
• Kapranov:  Derived varieties of complexes
• Katzarkov:  Sheaves of Categories and Applications
• Melani:  Shifted Poisson structures on affine derived stacks
• Pridham:  Shifted symplectic and Poisson structures
• Rozenblyum:  Symplectic groupoids and shifted Poisson structures
• Sibilla:  Derived loop stacks and categorification of orbifold products
• Soibelman:  Perverse sheaves of A-infinity categories and wall-crossing formulas
• Tsygan:  Microlocal methods and higher structures in symplectic geometry
• Vaquié:  Systems of points in saturated dg-categories
• Xu:  Eplicit formulas for shifted Poisson and shifted symplectic structures on [G/G]

Participants

• Vladimir Baranovsky
• Oren Ben-Bassat
• Emile Bouaziz
• Chris Brav
• David Carchedi
• Ben Davison
• Ezra Getzler
• Victor Ginzburg
• Owen Gwilliam
• Zheng Hua
• Dominic Joyce
• Mikhail Kapranov
• Ludmil Katzarkov
• Valerio Melani
• Andrew Morrison
• Tony Pantev
• Jon Pridham
• Nick Rozenblyum
• Pavel Safronov
• Pierre Schapira
• Ed Segal
• Nicolo Sibilla
• Yan Soibelman
• Betrand Toën
• Boris Tsygan
• Michel Vaquié
• Ping Xu
• Amnon Yekutieli