A Categorification of the Ring of Integer-Valued Polynomials

Explore a mathematical lecture on the categorification of the ring of integer-valued polynomials, delivered by Mikhail Khovanov at the International Congress of Basic Sciences 2025. Delve into advanced algebraic concepts as Khovanov presents his work on transforming the classical ring structure of integer-valued polynomials into a categorical framework, examining how this categorification process reveals deeper structural relationships and provides new insights into polynomial theory. Gain understanding of the theoretical foundations underlying this categorification approach and its implications for modern algebraic topology and representation theory through detailed mathematical exposition and rigorous proofs presented over nearly two hours of comprehensive coverage.