| Main | Venue | Program | Participants | Registration |
| Workshops | Concentration | Seminar |
| School: | “ Introductory School on Derived Categories ” |
| Organisers: | Timothy Logvinenko, Miles Reid |
| Date: | Mon 8th-Fri 12th September 2014 |
| This school is aimed at broad audience, including PhD students, early postdocs and specialists in neighbouring areas. It is an opening event of the symposium, serving as an introduction and an essential technical preparation. It comprises four lecture courses which introduce derived categories, their basic algebro-geometrical examples, stability conditions, semiorthogonal decompositions, homological projective duality and DG-enhancements. There are also several stand-alone talks and a number of exercise sessions. | |
| Workshop: | “ McKay correspondence, orbifolds, quivers ” |
| Organisers: | Alastair Craw, Timothy Logvinenko, Miles Reid |
| Dates: | Mon 15th-Fri 19th September 2014 |
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A one week workshop exploring links which derived category techniques
created between orbifold geometry, quiver representations and dimer
models. Derived McKay correspondence. Derived categories of Deligne-Mumford stacks. Derived categories of quivers with potential. Dimer models. Bipartite field theories. Mutations. |
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The participants of the Symposium might find the following to be also
of interest:
@ University of Warwick, 22nd-24th September, 2014 Organisers: Arend Bayer (Edinburgh), Milena Hering (Edinburgh), Diane Maclagan (Warwick), Balazs Szendroi (Oxford) https://sites.google.com/site/bragmeeting/ |
| Conference: | “ DG-enhancements and higher category methods ” |
| Organisers: | Alexander Efimov, Dmitri Kaledin, Timothy Logvinenko |
| Date: | 8th-12th December 2014 |
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A week long conference. DG categories. A-infinity categories. Enhancements. Derived Morita theory. DG categories of matrix factorizations. Moduli of objects in a DG category. Noncommutative geometry and noncommutative Hodge theory. Noncommutative motives. |
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(12th Jan – 13th Feb 2015) Moduli of curves and vector bundles, Brill-Noether theory and coherent systems. A particular aim of this period will be to consolidate and extend results on coherent systems of rank 2.
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(16 Feb – 13 Mar 2015) Refined invariants - motivic and/or categorised, Bridgeland stability, MNOP conjectures.
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| Concentration period: | “ Stability Conditions and Derived Categories ” |
| Organisers: | Arend Bayer and Tom Bridgeland |
| Date: | 8-24th February 2015 |
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Stability conditions and birational geometry:
birational geometry of moduli spaces, relations to syzygies, etc.
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| Conference: | “ Geometry from Stability Conditions ” |
| Organisers: | Arend Bayer, Tom Bridgeland |
| Date: | 16th-21st February 2015 |
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A week long conference on applications of the theory of stability conditions to results in algebraic geometry. In particular, it will focus on applications to the birational geometry of moduli spaces, and on potential connections to the Gross-Siebert programme via wall-crossing and mirror symmetry. |
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| School: | “ Derived Categories, Weyl Algebras and Hodge Theory ” |
| Organisers: | Dmitri Rumynin, Toby Stafford |
| Date: | 16th-20th March 2015 |
A week long school preceding
the “Derived categories, algebra and representation theory” conference.
For PhD students/early postdocs. Includes mini-courses on:
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| Conference: | “ Derived categories, algebra and representation theory ” |
| Organisers: | Iain Gordon, Dmitri Rumynin, Toby Stafford |
| Date: | 23rd - 27th March 2015 |
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A week long conference. There are two classes of algebras whose representation theory perpetuates the elegance of the representation theory of simple finite dimensional Lie algebras: rational Cherednik algebras and finite W-algebras. Their modern study began around 2002 and inherited a range of diverse ideas and methods from Lie algebras: D-modules, localisations, quantisations, derived categories, etc. These ideas have propagated to many other subjects: algebraic geometry, modular representation theory and theoretical physics, to name but a few. Two recent examples of their fertility are the AGT conjecture and the fusion of the geometric Langlands program with string theory. We propose to hold a workshop, centered on algebraic and representation theoretic aspects of this circle of ideas. |
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| Conference: | “
Derived Algebraic Geometry, with a focus on derived symplectic techniques ” |
| Organisers: | Kai Behrend |
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Mon 13th - Fri 17th Apr (the conference) Tue 7th - Sun 12th Apr (pre-conference concentration period) |
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A week long conference on latest developments in derived geometry,
with a focus on derived symplectic geometry. Scope: Derived algebraic geometry. Derived symplectic geometry. Applications to non-derived settings. Motivic Donaldson-Thomas invariants. Categorified Donaldson-Thomas invariants. |
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| Conference: | “ Derived categories and birational geometry ” |
| Organisers: | Alexander Kuznetsov, Timothy Logvinenko |
| Date: | 1st - 6th Jun 2015 |
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A week long conference on derived category interpretations and generalisations of traditional notions and techniques of birational geometry. The goal of this workshop is to bring together specialists in birational geometry and derived categories to develop and capitalise on some of the advances made in the last decade in these subjects. These include Kawamata's description of Minimal Model Program for derived categories of toric stacks, Van den Berg and Iyama-Wemyss’ constructions of noncommutative resolutions of singularities and Kuznetsov–Lunts’ construction of a categorical resolution of irrational singularities. |
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| Conference: | “ VBAC 2015: Fourier–Mukai: 34 years on ” |
| Organisers: | Peter Newstead, Miles Reid and VBAC Committee |
| Date: | 15th (Mon) - 19th (Fri) June, 2015 |
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A week long workshop. Fourier–Mukai transforms were introduced in a celebrated paper of Mukai in 1981. His motivation was to obtain new information about certain moduli spaces. Since then, the theory has been massively developed and applied. In this workshop, we will review developments and draw attention to potential new applications. The focus of the workshop will be the interaction between the study of derived categories and more classical problems in algebraic geometry. Topics to be covered include enumerative geometry, the geometry of moduli spaces of sheaves and Bridgeland stability. We shall also look at the relation to Morita Theory and to the conjectural interpretation of the Geometric Langlands correspondence. |
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| Conference: | “ Homological Mirror Symmetry and Hodge Theory ” |
| Organisers: | Mark Gross, Ludmil Katzarkov and Miles Reid |
| Date: | 29th June - 5th July 2015 |
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A week long conference on Homological Mirror Symmetry and related topics. Homological Mirror Symmetry. TQFT. Quantum integrable systems. Wall Crossing. BPS spectrum and Gaiotto-Moore-Neitzke construction. DT theory. Alday-Gaiotto-Tachikawa conjectures. Homological invariants of knots and their relation to string theory. Stability Hodge Structures. |
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