Abstract: In these lectures we shall introduce motives and present
results in Jannsen's paper, which say that the "conjectural" category of
motives is semisimple abelian iff the adequate equivalence relation taken
is
numerical equivalence.
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall
Description:
Speaker: Prof Kishore Marathe
Professor of mathematics and physics,
Brooklyn College and the graduate center,
City University of New York
Title: What is Physical Mathematics?
Abstract: Physical mathematics is a new and very active area of research
at the interface of physics and mathematics. However, its roots go
back to antiquity. We will discuss the ancient
origins of this subject and highlight some important achievements
in this area leading up to current developments. They have given us
surprising new results and new perspectives on old results in mathematics
starting with results from experimental and theoretical physics.
Time:
3:30pm-5:00pm
Location:
Room No. 216
Description:
Title: Values of quadratic forms at integer points
Abstract: This will be an overview of the results on values of quadratic forms at integer points.
Time:
11:30am-1:00pm
Location:
Ramanujan Hall
Description:
Title. Rational Surface Singularities.
Title. We will prove a purely numerical criterion due to M. Artin to test
the rationality of a surface singularity. In practice this is the
criterion which is used when a rational surface singularity is being
considered.
Time:
3:00pm-5:00pm
Location:
Room No. 215
Description:
Title: Leray-Serre Spectral Sequence
Abstract:
In the first half of the lecture, we will talk about spectral sequences and discuss how they arise. We will discuss both the filtration and exact couple approaches.
In the second half I will give the construction of the Leray-Serre spectral sequence connected to a fibration and discuss some examples.
This talk is the first of a two- lecture series. In the second talk, Rekha will prove that the i-th homotopy groups of a sphere S^n are finite when i is greater than n, except in one particular case, using the Serre spectral sequence.