Speaker: Yairon Cid-Ruiz, Ghent University, Krijgslaan, Belgium.
Date/Time: 16 July 2021, 5:30pm IST/ 12:00pm GMT / 8:00am EDT (joining
time 5:15pm IST).
Google meet link:
https://meet.google.com/qca-qfgy-mpd
Title: Convex bodies and graded families of monomial ideals.
Abstract: We show that the mixed volumes of arbitrary convex bodies are
equal to mixed multiplicities of graded families of monomial ideals and to
normalized limits of mixed multiplicities of monomial ideals. This result
evinces the close relationship between the theories of mixed volumes from
convex geometry and mixed multiplicities from commutative algebra. This is
joint work with Jonathan Montaño. Time permitting, we will also speak
about some joint work with Fatemeh Mohammadi and Leonid Monin regarding
"multi-graded algebras and multi-graded linear series".
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar