Fri, September 27, 2019
Public Access Category: All |
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- Time:
- 4:00pm-5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG seminar.
Speaker: Maria Mathew.
Affiliation: IIT Bombay.
Date and Time: Friday 27 September, 4:00 pm - 5:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Gubeladze's geometric proof of Anderson's conjecture, Lecture III.
Abstract: Let M be a finitely generated seminormal submonoid of the free
monoid \mathbb Z_+^n and let k be a field. Then Anderson conjectured that
all finitely generated projective modules over the monoid algebra k[M]
is free. He proved this in case n=2. Gubeladze proved this for all n using
the geometry of polytopes. In a series of 3 lectures, we will outline a
proof of this theorem.
- Time:
- 5:30pm-6:30pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Algebraic Groups seminar.
Speaker: Anupam Kumar Singh.
Affiliation: IISER Pune.
Date and Time: Friday 27 September, 5:30 pm - 6:30 pm.
Venue: Room 215, Department of Mathematics.
Title: z-classes in algebraic groups.
Abstract: Two elements of a group G are said to be z-equivalent if their
centralizers are conjugate within G. The z-equivalence is a weaker
relation than the conjugacy relation. Let G be an algebraic group defined
over a field k. Steinberg, proved that when G is a reductive group and k
is an algebraically closed field, G(k) has finitely many z-classes. This
result is generalised to more general base field k which are of type (F).
In this talk, we discuss the results on this problem.