Ashish Gupta

(Department of Mathematics, IISER Bhopal)

Growth of Algebraic Structures

Date Friday, July 8, 2016

Algebraic structures (Groups, Monoids and Algebras) are often described in terms of generators and relations. Such a description raises the following questions:

  1. Describe a normal form for the elements of the algebraic structure in question.
  2. Whether the structure of this object can be determined in terms of this data.
  3. How quickly is the algebra growing.

I will discuss the growth of modules over quantum polynomials and an addition theorem for growth that they satisfy.