Workshop Information

The Workshop:

Derived and triangulated categories were invented independently by Dietrich Puppe and Alexander Grothendieck and his student Jean-Louis Verdier in early 1960's and they play an important role in the various areas of algebra, topology, geometry and physics after the work of Kashiwara, Beilinson-Bernstein-Deligne, Kontsevich, Voevodsky and many others.

This is a subject where several areas of mathematics meet and make unexpected connections. Many important conjectures in algebra, topology and geometry can only be formulated, or explained, in terms of derived categories. For example, the homological mirror symmetry of Kontsevich in mathematical physics, the abelian defect group conjecture of Broue in the representation theory of finite groups, and the Bondal-Orlov conjecture on Calabi-Yau varieties, all rely on derived categories.

The aim of the conference is to bring together a group of top experts from algebra, topology and geometry who are working on derived categories and to present new directions and methods in the subject.

 

Confirmed speakers:

Hideto Asashiba (Shizuoka) The Grothendieck construction, 2-equivalences between G-categories and G-graded categories, and derived equivalences
Roland Berger (St Etienne) Gerasimov's theorem and Calabi-Yau algebras pdf file of talk
John Greenlees (Sheffield)
Complete intersections in derived categories pdf file of talk
Thorsten Holm (Hannover) A cluster category of type A-infinity pdf file of talk
Peter Jorgensen (Newcastle) Defining some cluster algebras with infinite clusters
Dominic Joyce (Oxford) A theory of generalized Donaldson-Thomas invariants
Bernhard Keller (Paris VII) Triangulated categories and cluster algebras
Henning Krause (Paderborn) Stratifying derived categories
Fernando Muro (Barcelona) From ordinary to enhanced triangulated categories
Konstanze Rietsch (King's College, London) On mirror symmetry for flag varieties
Claus Michael Ringel (Bielefeld) The representation theory of cluster-concealed algebras
Stefan Schwede (Bonn) On the notion of order in triangulated categories

 

Workshop photos:

 

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Registration:

If you are interested in coming to the LMS workshop, please register by 1st September by sending an email to the organisers Teimuraz Pirashvili and Nicole Snashall with the following information:

  • Full name
  • Email address
  • Affiliation
  • Dates of arrival and departure
  • Whether you are requesting financial support (and if so whether you are a UK PhD student) and an estimate of the amount applied for
  • Whether you will attend the LMS Meeting dinner on 16th Sept and any dietary requirements

Please also let us know if you are coming to the British Topology Meeting so that we can coordinate accommodation requests!

 

Programme:

The workshop begins with registration on Thursday 17th September at 9am and ends on Saturday 19th September at 1pm.

Click HERE for the programme!

Videos of the lectures are available HERE.

 

Lecture Rooms:

On Thursday 17th and Friday 18th, the talks will be in Ken Edwards Building Lecture Theatre 3.

On Saturday 19th, the talks will be in Bennett Link Lecture Theatre.

 

Information on accommodation:

If you are a UK PhD student, then we can book university accommodation for you and the cost will covered by the LMS grant, providing that we do this by 10th August. If you would like us to do this, then please fill in the required information when you send an email to register.

Otherwise, please book your own accommodation. You may wish to try one of the following hotels, but there are many others available:

Belmont Hotel, De Montfort Street, Leicester
Ibis Leicester City, St George's Way, Leicester
Spindle Lodge Hotel, West Walk, Leicester
Stoneycroft Hotel, Elmfield Ave, Leicester

 

Travel information and campus maps

Click HERE!

 

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