Fri, July 16, 2021
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5:00pm [5:30pm] Yairon Cid-Ruiz, Ghent University, Krijgslaan, Belgium.
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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
6:00pm