Cohomology algebra of the complement of a toric arrangement
Chennai Mathematical Institute.
Counting integral points in families of variable polytopes is a classical problem. De Concini and Procesi have developed the theory of toric arrangements to address these type of problems. These arrangements unify various ideas from pure as well as applied mathematics. Consequently toric arrangements have become a subject of independent interest. The cohomology of the complement of a toric arrangement plays a crucial role in understanding the generating function for the number of integer points in a polytope. However, to this date the multiplicative structure in the cohmology is not completely known. In this talk I shall report on the joint work with Kavita Sutar regarding the cohomology algebra of toric complements.