January 27, 2020 - January 31, 2020
Public Access Category: All |
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- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium.
Speaker: Marius Tucsnak.
Affiliation: Universite de Bordeaux.
Date and Time: Monday 27 January, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Mathematics and swimming of aquatic organisms.
Abstract: We pass in review recent results on the mathematical modelling
of solids in a viscous fluid. We discuss, in particular, questions
connected to the wellposedness and the qualitative behavior of solutions.
We finally emphasize the case of self-propelled motions , in connection
with the modelling of swimming of aquatic organisms.
- Time:
- 11:45am-1:00pm
- Location:
- Room 113, Department of Mathematics
- Description:
- Commutative Algebra & Algebraic Geometry seminar.
Speaker: Rajendra Gurjar.
Affiliation: IIT Bombay.
Date and Time: Tuesday 28 January, 11:45 am - 1:00 pm.
Venue: Room 113, Department of Mathematics.
Title: Cyclic unramified coverings of varieties.
Abstract: We will show how cyclic unramified coverings of algebraic
varieties can be constructed using units in the coordinate ring of the
variety, or torsion divisor classes. Converse of this will also be
discussed. We will show how topology of the variety influences such
covers.
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium
Speaker: Anand Sawant.
Affiliation: School of Mathematics, TIFR.
Date and Time: Wednesday 29 January, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Central extensions of algebraic groups revisited.
Abstract: The study of central extensions of a group, which began with the
work of Schur, has a long history spanning more than a hundred years.
Celebrated results of Steinberg and Matsumoto obtained about fifty years
ago determine the universal central extension of certain algebraic groups.
These results have lead to a lot of interesting developments, for
instance, the work of Brylinski and Deligne about determining the category
of central extensions of a reductive group by K_2 in terms of certain
quadratic forms. I will briefly survey these classical results and discuss
how all these results can be uniformly explained and generalized using
motivic homotopy theory. The talk is based on joint work with Fabien Morel
and will not presume any knowledge of motivic homotopy theory.