July 30, 2018 - August 3, 2018
Public Access Category: All |
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- Time:
- 5:00pm-6:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Seminar: CACAAG.
Time: 5-6:30 pm, Tuesday, July 31.
2018.
Venue: TBA.
Speaker: Dr. Samir Shukla.
Title: An introduction to some graph coloring complexes
Abstract: Graph complexes are simplicial complexes arising from graphs. In
this talk we mainly focus on two types of complexes: Neighborhood
complexes and Hom complexes. The topology of these complexes are closely
related to the chromatic number of the underlying graphs. We give a brief
survey of the research have been done with respect to them in recent
years. We also discuss some open problems related to them.
- Time:
- 2:00pm-3:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Speaker : Dr. Vivek Mukundan
Title : Implicitization problem and the defining ideal of the Rees algebra.
When : Thursday, 2 Aug 2.00-3.30 pm
Venue: Room 215
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Abstract: Consider a rational map from P^{n-1}—>P^n parametrized by homogeneous polynomials f_0,\dots,f_n of degree d. We study the equations defining the graph of the map whose coordinate ring is the Rees algebra of the ideal generated by f_0, .., f_n. We provide new methods to construct these equations using work of Buchsbaum and Eisenbud. Furthermore, for certain classes of ideals, we show that our construction is general. These classes of examples are interesting, in that, there are no known methods to compute the defining ideal of the Rees
algebra of such ideals. These new methods also give rise to effective criteria to check that φ is birational onto its image.
- Time:
- 3:00pm-4:00pm
- Location:
- Ramanujan Hall
- Description:
- Title: General Glivenko- Cantelli. Theorem.
Speaker: Prof. K.B. Athreya
Venue: Ramanujan Hall
Time: 3:00 pm to 4:00 pm
Abstract:
The classical version of Glivenko Cantelli theorem says: let X sub I , i = 1, 2, 3, ..be real valued r.v. with cdf F(x) then the empirical cdf based on X sub i , i = 1,2,3,....n converges wp1 as n goes to infinity to F uniformly over R.
In this talk this theorm is generalised to cover Markov chains, exchangeable sequences and regenerative sequences.
Some open problems will also be posed.
- Time:
- 4:00pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Speaker: Prof. Sudarshan Gurjar
Title: Introduction to Symplectic Geometry
Abstract: I will begin by introducing the class of symplectic manifolds
and explain their connections to other well known geometric objects. In
the second part of the talk, I will introduce symplectic reduction whereby
one constructs symplectic quotients of symplectic manifolds under suitable
actions of lie groups.