Fri, March 11, 2022
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11:00am [11:30am] Suprajo Das
Date : March 11, Friday Time : 11:30-12:30 Link : Title: Asymptotic behaviour of certain length functions. Abstract: The notion of epsilon multiplicity was originally defined by B. Ulrich and J. Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if the limsup can be replaced by a limit. In this talk we shall see that the relative epsilon multiplicity of reduced standard graded algebras over an excellent local ring exists as a limit. However, the associated length function can be quite complicated. We explore certain situations when the symbolic (multi) Rees algebra is finitely generated. In such cases, the associated (multigraded) length function exhibits polynomial-like behaviour.

6:00pm [6:30pm] Craig Huneke, University of Virginia, USA.
Speaker: Craig Huneke, University of Virginia, USA. Date/Time: 11 March 2022, 6:30pm IST/ 1:00pm GMT / 8:00am ET (joining time 6:15pm IST). Gmeet Title: Torsion in Commutative Algebra. Abstract: This talk will be a somewhat historical one, concerning three problems dealing with the idea of torsion. The three problems are those on symbolic powers, the Huneke-Wiegand conjecture, and Berger's conjecture. Besides talking about my own memories, we will focus on torsion in tensor products. For more information and links to previous seminars, visit the website of VCAS: