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Seminars

Deformation of quotient singularities over a local ring of mixed characteristic

Hold Date
2021-04-23 16:00〜2021-04-23 17:00
Place
IMI Auditorium(W1-D-413), West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Kenta Sato (Kyushu University)

Recently, André verified the existence of a Big Cohen Macaulay algebra for a complete local ring of mixed characteristic by using the theory of perfectoid. On the other hand, Liedtke, Martin and Matsumoto conjectured that linearly reductive quotient singularities are stable under deformations over a local ring of mixed characteristic. In this talk, we apply André's result and give an affirmative answer to the conjecture. This is joint work with Professor Shunsuke Takagi.