Abstract

The F -thresholds of ideals in a ring of prime characteristic were introduced by Huneke, Mustata, Takagi and Watanabe as a prime characteristic invariant of singularities. In this talk we will discuss the notion of F -thresholds of filtrations of ideals, its existence, and effective upper bounds. Moreover we will see a connection between F -thresholds of symbolic power of filtrations and symbolic F -splitting, a new notion of singularities in prime characteristics introduced recently. This is a joint work with Dr. Arvind Kumar, Chennai Mathematical Institute.

About speaker:

Dr. Koley did her Ph.D from Chennai Mathematical Institute, 2018. She was a DAAD Visiting Scientist during 2019 at University of Osnabrueck, Germany and DST-INSPIRE Faculty Fellow, during 2023 at India Statistical Institute Kolkata, India. She joined as Assistant Professor during October 2024 at IISER, Trivandrum. Her research interest lies in Commutative Algebra.