Equivariant topology in algebraic geometry

Marie Curie Fellowship 235437, R. Rimanyi

The Rényi Institute concluded contract negotiations with the European Community, the project started on July 1, 2009.

Our main fields of research are:

• Equivariant classes of matroid realization varieties
• Thom series of contact singularities via singular-base equivariant localization
• Conformal field theory and equivariant cohomology

Some training and research activities of the PI

• Workshop on quivers, Renyi Institute, August 2009
• Conference on singularities, Oberwolfach, September 2009
• Visiting Warwick U, U of Liverpool, U of Bath, U of Sussex (joint research, seminars, colloquia), October 2009
• Visiting MPIM, November 2009
• joint research with M. Kazarian, Renyi Institute, January 2010
• Workshop on Physically inspired mathematics, Geneva, January 2010
• visiting IHES, March 2010
• joint research with A. Varchenko, Renyi Institute, April 2010
• joint research with P. Eberlein, Renyi Institute, June 2010
• joint research with L. Feher, Renyi Institute, July 2009-June 2010

Papers

R. Rimanyi, A. Varchenko: Conformal blocks in the tensor product of vector representations and localization formulas , to appear in Toulouse M. J.

L. Feher, A. Nemethi, R. Rimanyi: Equivariant classes of matroid realization spaces , to appear in Comm. Math. Helv.

L. Feher, R. Rimanyi: Thom series of contact singularities , submitted

R. Rimanyi, V. Schechtman, A. Varchenko: Conformal blocks and equivariant cohomology sumitted

R. Marangell, R. Rimanyi: The general quadruple point formula Ameriacan Journal of Mathematics, Vol. 132, No 4, August 2010

Illustration

Interactive illustration of enumerative geometry problems related to matroids