MATH Semineri: “Vector invariants of a permutation group over characteristic zero”, Müfit Sezer, 15:40 18 Kasım (EN)

You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar

Speaker: Müfit Sezer (Bilkent)

“Vector invariants of a permutation group over characteristic zero”

Abstract: We consider a finite permutation group acting naturally on a vector space V over a field k. A well known theorem of Göbel asserts that the corresponding ring of invariants k[V]G is generated by invariants of degree at most dim V choose 2. We point out that if the characteristic of k is zero then the top degree of the vector coinvariants k[mV]G is also bounded above by n choose 2 implying that Göbel’s bound almost holds for vector invariants as well in characteristic zero.
This work is joint with F. Reimers.

Date: 18 November 2022, Friday
Time: 15:40 (GMT+3)
Place: Zoom

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