The goal of the school is to give an introduction to algebraic combinatorics for students at the PhD level.
The program consists of three series of lectures : 1. Hyperplane arrangements, 2. Simplicial and geometric complexes and associated resolutions of ideals, and 3. Cluster algebras and related phenomena.
The lectures will cover basic concepts from algebraic combinatorics like posets, simplicial complexes, in particular Cohen-Macaulay and shellability, Møbius functions and the Orlik-Solomon algebra.
The series on hyperplane arrangements include topics like no broken circuit basis, local systems cohomology, and Brieskorn's and Deligne's theorems.
The series on simplicial and geometric complexes and reslutions of ideals include topics lik Betti numbers, CW-complexes describing graded resolutions and discrete Morse theory.
The series on cluster algebras and related phenomena include apart from cluster algebras, topics like total positivity, the Laurent phenomenon, and generalized associahedra. See Sergey Fomin's notes on Cluster Algebras on his website!
Along the way concepts needed in the lecture series from topology, algebraic geometry and linear algebraic groups will be introduced.
Arrival: Sunday 15. or Monday morning June 16. The first lecture starts after lunch, at 13:15.
Departure: Friday 20. or Saturday morning 21.
How to arrive: For detailed travel information consult the home page of the conference center at http://www.math.uio.no/nordfjordeid/nordfjord.html
The following are the main possibilities:
a) By Plane: The natural place to fly to is Sandane via
Oslo or Bergen.
This airport is only 5 km from Nordfjordeid,
and there is bus/taxi service from there.
b) By Bus: There is relatively good bus service between Oslo
and Nordfjordeid, and Bergen and Nordfjordeid, but it takes 9 and
6 hours respectively.
c) By Boat and Bus: There is also a good express boat service between
Bergen and Måløy, with bus connection between Måløy and
Nordfjordeid, it takes about 5 hours altogether.
Weather: The weather is fairly unstable at Nordfjordeid. From cold, rain and wind to sunny and warm. The temperature is seldom below 10 and go up to 25 if we are lucky. It is advisable to bring a sweater and a jacket.
Registration fee: 200 NOK. The registration fee is payable at arrival (no credit cards).
Financial support: Partial financial support is available for participants from the nordic countries (for details check the web site http://www.mi.uib.no/nordag/ or contact johnsen@mi.uib.no)
Registration deadline is May 1, 2003
For registration and further
information please contact
K. Ranestad, Dep. of Math., Boks 1053 Blindern, N-0316 Oslo,
Norway,
e-mail:ranestad@math.uio.no
Time schedule for the program:
Monday 16
1200-1300 Lunch
1315-1400 Welker 1
1415-1500 Orlik 1
1500-1530 Coffee
1530-1615 Fomin 1
1630-1715 Fomin 2
1800-1900 Dinner
2000- Exercises
Tuesday 17
0800-0900 Breakfast
0900-0945 Welker 2
1000-1045 Welker 3
1045-1115 Coffee
1115-1200 Orlik 2
1215-1300 Orlik 3
1300-1400 Lunch
1430-1515 Fomin 3
1530-1615 Fomin 4
1615-1630 Coffee
1630-1800 Exercises
1800-1900 Dinner
Wednesday 18
0800-0900 Breakfast
0900-0945 Welker 4
1000-1045 Orlik 4
1045-1115 Coffee
1115-1200 Fomin 5
1215-1300 Fomin 6
1300-1400 Lunch
Excursion
1800-1900 Dinner
Thursday 19
0800-0900 Breakfast
0900-0945 Welker 5
1000-1045 Welker 6
1045-1115 Coffee
1115-1200 Orlik 5
1215-1300 Orlik 6
1300-1400 Lunch
1430-1515 Fomin 7
1530-1615 Fomin 8
1615-1630 Coffee
1630-1800 Exercises
1800-1900 BBQ Dinner
Friday 20
0800-0900 Breakfast
0900-0945 Welker 7
1000-1045 Welker 8
1045-1115 Coffee
1115-1200 Orlik 7
1215-1300 Orlik 8
1300-1400 Lunch
1630-1800 Exercises
1800-1900 Dinner