Summer 2011 seminar on the Dynkin operator and renormalization Hopf algebras

Nicolas and I are running a learning seminar on the Dynkin operator from the end of April until the end of May.

We meet Fridays from 10-11:30 in K9509.

Schedule

April 20 in IRMACS 10917.2 at 3:30

Note date time and location!
Nicolas Marie, (1) The Dynkin operator and Free Lie algebras, (2) The Dynkin operator and Hopf algebras, (3) A toy example.

April 29

Karen Yeats, Examples and calculations from arXiv:hep-th/0609035.

May 6

Note we will meet from 2:00 to 3:30 this week
Nicolas Marie

May 13

Karen Yeats, (1) Descent algebras (2) Rota-Baxter algebras

May 20

Nicolas Marie, Renormalization and Algebraic Birkhoff factorization

May 27

Nicolas Marie

References

1. K. Ebrahimi-Fard, J.M. Gracia-Bondia, F. Patras, A Lie theoretic approach to renormalization hep-th/0609035 and Commun.Math.Phys.276:519-549,2007
2. Christophe Reutenauer, Free Lie Algebras, in: Handbook of Algebra, vol. 3, ed. M. Hazewinkel, Elsevier, 2003, 887-903.
3. F. Patras, Dynkin operators and renormalization group actions in pQFT
4. Alain Connes and Matilde Marcolli, Renormalization and motivic Galois theory, arXiv:math/0409306
5. Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer, Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT, arXiv:hep-th/0407082

Previous seminars

• Spring 2011 integrable models in combinatorics and physics
• In Fall 2010, Samson Black and I organied a learning seminar on knots and quantum field theory.
• In late April and May 2010 I gave a series of 5 lectures on Renormalization Hopf Algebras, and the participants kindly took notes.
• Spring 2010 workgroup on Random matrices, symmetric functions, and graph enumeration.

Older seminars on more motivic topics from when I was at Boston University. There are many broken links, but I consider these archived and so they will not be changed.

• Fall 2006 seminar on motives with applications in physics
• Spring 2006 Motives-Arithmetic-Physics Seminar (organized by Obi Rej).
• Fall 2005 learning seminar on motives