Workshop in Algebraic Combinatorics and Numerical Analysis: 6-12th December 2012
In this workshop we will discuss algebraic structures related to numerical integrators for ODEs. The main topics are B-series expansions, pre-Lie algebras, post-Lie algebras, operads, geometric integration.
Here is a list of the literature that Kurusch mentioned:
- On post-Lie algebras, Lie-Butcher series and moving frames by Hans Munthe-Kaas and Alexander Lundervold
- On algebraic structures of numerical integration on vector spaces and manifolds by Alexander Lundervold and Hans Z. Munthe-Kaas
- A short survey on pre-Lie algebras by Dominique Manchon
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics by Dietrich Burde
- Energy-preserving integrators and the structure of B-series by Elena Celledoni, Robert I McLachlan, Brynjulf Owren and GRW Quispel
- Two interacting Hopf algebras of trees by Damien Calaque, Kurusch Ebrahimi-Fard and Dominique Manchon
Thursday Dec 6th
- Opening of the workshop room 1329 with coffee/tea at 9:00 am.
- Dominique will talk about pre-Lie algebras room 734
- Discussion
- Lunch at the university restaurant at 12:30
- Elena will talk about geometric B-series room 734
- Discussion and work in groups.
Friday Dec 7th
- We meet for coffee/tea at 9:00 am.
- Hans will talk about post-Lie algebras room 734
- Discussion
- Lunch
- Alexander will talk about post-Lie algebras room 734
Monday Dec 10th
- We meet for coffee/tea at 9:00 am.
- Jon Eivind Vatne will talk about operads
- Discussion
- Lunch
- Kurush will talk about Magnus expansion and pre-Lie algebras room 734
- Dinner at To rom og kjøkken at 7:00 pm. To find it try Restaurant To Rom og Kjøkken, Carl Johans gate, Trondheim, Norway on Google maps
Tuesday Dec 11th
- We meet for coffee/tea at 9:00 am.
- Talks or discussions
Wednesday Dec 12th
- We meet for coffee/tea at 9:00 am.
- Work in groups
- Lunch at the university restaurant at 12:30
- Closing remarks