Tue, August 13, 2019
Public Access Category: All |
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- Time:
- 2:00pm-3:30pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Commutative Algebra Seminars
Speaker: Dilip Patil.
Affiliation: IISc, Bangalore.
Seminar I - Date and Time: Tuesday 13 August, 2:00 pm - 3:30 pm.
Venue: Room 215, Department of Mathematics.
Title: The Cohen-Structure Theorems.
Abstract: The purpose of these two lectures is to provide the proof of
Cohen’s structure theorem for complete local rings (which Cohen proved in
his PhD thesis 1942, Johns Hopkins University under the guidance of Oscar
Zariski). In these lecture we deal with the equicharacteristic case. We
give a modern and concise treatment by using the notion of formal
smoothness which was introduced by Grothendieck in 1964 in EGA Chapter IV.
It is closely connected with the differentials and throws new light to the
theory of regular local rings and used in proving Cohen’s structure
theorem of complete local rings.
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Algebraic groups seminar.
Speaker: Uday Bhaskar.
Affiliation: TIFR, Mumbai.
Date and Time: Tuesday 13 August, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Simultaneous conjugacy classes of commuting tuples of matrices.
Abstract: We discuss the classification of tuples of commuting matrices
over a finite field, up to simultaneous conjugation.