Fall 2007 seminar on modularity in funny places
This semester, instead of motives, we
will investigate some of the more peculiar and obscure occurences of modular
forms. We meet Wednesday at 1 in MCS 153.
Schedule
- Sept 12
- Karen Yeats, introduction and Rankin-Cohen brackets following Zagier [1].
- Sept 19 (in MCS 135)
- Dirk Kreimer, the natural growth Hopf algebra.
- Sept 26
- Karen Yeats, Connes and
Moscovici's modular Hecke algebras [2].
- Oct 3
- Karen Yeats, Rankin-Cohen
brackets in the Connes-Moscovici framework [3], with a short comment by David
Fried on what X is.
- Oct 10
- Cancelled
- Oct 17
- Susama Agarwala, Hopf actions.
- Oct 24
- Matt Szczesny, CM
algebras, quotients, and the NC geometry of the frame bundle.
- Oct 31
- Karl Mahlburg.
- Nov 7
- David Rohrlich, A curious power series identity.
- Nov 14
- David Rohrlich, What is
the Faa di Bruno Hopf algebra? [5]
- Nov 21
- No seminar due to American Thanksgiving
- Nov 28
- David Fried.
- Dec 5
- Odds and ends. Let me know if you have any odds or ends you'd like to contribute.
References
- Don Zagier, Modular forms and differential operators, Proc. Indian Acad. Sci. (Math. Sci.), Vol. 104, No. 1, February 1994, pp. 57-75.
- Connes and Moscovici, Modular Hecke Algebras and their Hopf Symmetry, arXiv:math/0301089.
- Connes and Moscovici, Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry, arXiv:math/0304316.
- Connes and Moscovici, Cyclic cohomology and Hopf algebras, arXiv:math/9904154.
- L. Foissy, Faà di Bruno subalgebras of the Hopf algebras of the Hopf algebras of planar trees, arXiv:math/0707.1204.