# Colloquium abstracts

**Dinesh Thakur**

University of Rochester

August 26, 2022

**Supercongruences and Derivatives**: We will see some interesting connections between supercongruences and derivatives when we replace integers by polynomials. We will give some applications to characterizations and infinitude of special class of primes. We will also see how some fundamental arithmetic quantities have interesting factorizations in terms of special primes.