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Speaker:    Kamryn Spinelli

Affiliation: ¾ÅÐãÖ±²¥

Title: Restriction theorems, old and new

Abstract: 
It has long been known that the ring C[V]^G of invariant polynomials on a representation V of a reductive group G is deeply connected to the G-orbits in V. Because finding invariants is generally quite difficult, historically many computations of invariant rings have used so-called restriction theorems to reduce to the question of invariants under the action of a finite group. In this talk, we will give a tour of previous restriction theorems as motivation for two restriction properties on the level of invariant rings and invariant fields. Then we will construct a scheme over a large algebraically closed field which parametrizes candidates for these restriction properties. This is joint work with Bong Lian.