Mostly a faculty research seminar. Going over expository
papers & problems for faculty/graduate/undergraduate research.

Goals: Learn each other's favorite math language, share interests and
problems, facilitate collaborations, having fun ...

__General Information__

Fusun Akman, Gaywalee Yamskulna, Lucian M. Ionescu, George Seelinger, Papa Sisoco, Wenhua Zhao

(Please e-mail LMiones@ilstu.edu to have your e-mail added to the list of participants)

Time & Place:
Thursday 1:00-1:50 p.m. STV 210;

Topics, articles &
possible speakers (Waiting for suggestions!):

- BV-quantization/algebras (Fusun, Lucian ...)

- 1) Fusun's article
- 2) Domenico Fiorenza
- 3) Alberto Cattaneo

- Hopf algebras and pointed pre-Lie algebras; relation with
deformation theory (Lucian, Wenhua, George, Papa ...)

- 1) A. Connes, D. Kreimer - Hopf algebras, renormalization and noncommutative geometry, hep-th/9809042,
- 2) L. Ionescu - A combinatorial approach to coefficients in deformation quantization, math.QA/0404389,
- 3) Chapoton ...
- 4) Wenhua Zhao - formal diffeomorphisms & some problems (Jacobian conjecture etc.)
- 4) L.I. & D.F. ...

- Generating functions as solutions of DEs

- 1) Book by ... (Wenhua, Lucian ...)

2) DS-equation (quantum dynamics) as Maurer-Cartan / Master equation (trying to understand ...)

- Vertex Operator Algebras (finally some serious stuff!) (Wenhua, Gail, ...)

- 1)...

2) VOAs - FIM proceedings?

__Topics covered__

- 9/2 G.S.: "Introduction to the Brauer group (I)"

- 9/9 G.S.: "Introduction to Brauer group (II)"
- 9/16 Gail: Introduction to VOAs (I)
- 9/23 Gail: Introduction to VOAs (II)
- 9/30 Wenuha: Geometric interpretation of VOAs

- 10/7 Wenhua: Hessian Nilpotent Polynomials and the Jacobian Conjecture.
- 10/14 Fusun: There are no new identities.
- 10/21 Fusun: There are no new brackets.

- 10/28 Lucian: On VOAs, QG and quantization
- 11/4 Lucian: On deformation theory

- 11/11 Lucian: L-infinity algebras from
higher derived brackets

- 11/18 Open discussions (& planing)

Lucian Ionescu STV 303G /309-438-7167 / LMIones@ilstu.edu.