LMS-EPSRC Short Course Derived Categories & Applications September 7-11 2009

Course outline

Originally invented and developed as a technical tool for homological algebra, derived categories are now pervasive in many areas of pure mathematics. This course is intended to give students an introduction to derived categories together with applications in a variety of settings across representation theory and geometry.

There will be three main series of lectures:

• Introduction to derived categories: Markus Linkelmann (Aberdeen)
• Modular representations of finite groups: Raphaël Rouquier (Oxford)
• Derived categories for algebraic varieties and noncommutative algebras: Iain Gordon (Edinburgh)

There will also be two lectures on modern developments by Alastair King (Bath) and Catharina Stroppel (Bonn).

Applications

Applications for this course have now closed.

Fees

• All research students registered at a UK university will be charged a registration fee of £ 100. In the case of EPSRC funded research students, this fee should be paid by their departments from their Doctoral Training Account. For non-EPSRC research students, their department might be prepared to pay the fee. They will not be charged for subsistence costs.
• UK-based postdocs will be charged a registration fee of £100, plus half the subsistence costs (£92), making a total of £192.
• All other attendees (overseas students and postdocs, those working in industry) will be charged a registration fee of £250 plus the full subsistence costs (£185), making a total of £435.

All participants must pay their own travel costs. For EPSRC funded students, this should be covered by their DTA.

Fees are not payable until a place on the course is offered. In the event of over-subscription preference will be given to UK-based research students.

Getting to City

City University is about 10 minutes walk from Angel, Barbican, or Farringdon tube stations. Kings Cross St. Pancras is the nearest mainline station, about 20 minutes walk away. Travel information for City University can be found here.

Accommodation

Accommodation for participants will be at Rosebery Hall, 90 Rosebery Avenue, which is conveniently located a short distance from City University (see map below). Further details can be found on their website. Arrival day will be Sunday 6th September; departure day will be Friday 11th September. Please note that check-in is 2-9pm; those planning to arrive after this time can do so, but should let Anton Cox know in advance (by email to the address at the bottom of the page).

Lunch and dinner arrangements (except for the workshop dinner) are left to the participants; there are plenty of places to eat at City and near the University and Rosebery Hall. Many restaurants and bars can be found on Upper Street and in Exmouth Market (marked in red on the map below).

Unfortunately it is not posible to provide internet or email facilities during the workshop. Participants may if necessary ask the local organisers for assistance with this.

View LMS/EPSRC summer school on derived categories in a larger map

Timetable

Here is the provisional timetable, which is subject to change. All lectures will be in D111 in the Social Science building (see map above). This is entered from St John Street.

	Monday	Tuesday	Wednesday	Thursday	Friday
09:00-09:30	Welcome	Course 1	Course 1	Course 1	Course 2
09:30-10:00	Course 1
10:00-10:30		Course 2	Course 2	Course 2	Course 3
10:30-11:00	Coffee
11:00-11:30	Course 1	Coffee	Coffee	Coffee	Coffee
11:30-12:00		Course 3	Course 3	Course 3	Course 3
12:00-12:30	Course 2
12:30-13:00		Lunch	Ex. Class/	Lunch	Lunch/
13:00-13:30	Lunch		Lunch		Departure
13:30-14:00
14:00-14:30		Exercise	Free	Lecture 1
14:30-15:00	Exercise	Class	Afternoon
15:00-15:30	Class	Tea		Tea
15:30-16:00	Tea	Exercise		Lecture 2
16:00-16:30	Exercise	Class
16:30-17:00	Class
19:30-21:00				Workshop
				Dinner

Workshop dinner

There will be a workshop dinner on Thursday 10th September.

Organisers

If you have any questions please contact one of the organisers.

Anton Cox and Joe Chuang