CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic
Geometry) seminar
Speaker : Neeraj Kumar
Date & Time: Monday 26th March, 2pm
Venue: Ramanujan Hall
Title: Castelnuovo-Mumford Regularity of Canonical Curves.
Time:
11:30am-1:00pm
Location:
Room No. 215, Department of Mathematics
Description:
Commutative algebra seminar
Tuesday 27th March 11.30-1.00
Venue: Room 215
Speaker: Madhusudan Manjunath
Title: Groebner bases of Toric Ideals.
Abstract: This is the first of two lectures where we'll cover Groebner
bases of toric ideals. We start with an introduction to toric ideals and
then study their Grobener bases. Our main goal will be a theorem of Bernd
Sturmfels from 1991 that relates (certain) initial ideals of toric ideals
to regular triangulations of an associated point configuration. The
lectures are based on Chapters 4 and 8 of the book ``Groebner Bases and
Convex Polytopes'' by Sturmfels.
Time:
3:30pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Topology Seminar
Speaker: Samir Shukla (ISI Bangalore)
Date & Time: Tuesday, 27th March at 3:30 PM.
Venue: Ramanujan Hall
Abstract and title are attached.
Time:
4:00pm
Description:
Department Colloquium
Speaker: Vamsi Pingali (Indian Institute of Science, Bengaluru)
Title : An extension of a theorem of Nori to Gauduchon astheno-Kahler
manifolds
Date and Time: 4:00 p.m., Wednesday, March 28, 2018
Abstract : Nori proved that a vector bundle on a projective variety
satisfies a polynomial equation with integral coefficients if and only if
its pullback to a finite cover is trivial. I shall talk about an extension
of this result to Gauduchon astheno-Kahler manifolds. This is joint work
with Indranil Biswas.
Time:
11:00am-12:30pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Combinatorics Seminar
Title: Primes in Sumsets and Sumsets in Primes
Speaker: Gyan Prakash, HRI
Date-Time: Thursday, March 29 2018, 11 AM to 12.30 PM.
Venue: Ramanujan Hall
Abstract: Attached.
Time:
4:00pm
Location:
Room No. 216, Department of Mathematics
Description:
Student Seminar
Title: An example which motivates why we need line bundles.
Speaker: Soumyadip Thandar
Abstract: This will be a motivational seminar about the importance of line
bundles( ie, vector bundles of rank 1). Giving a vector bundle of rank k
over some space is equivalent to give some data, such as an open cover for
the space, and a collection of maps from the intersections of these open
sets to Gl(k,C). We will first construct CP^n by gluing (n+1) copies of
C^n. We will then construct a special line bundle, called O(1), over CP^n ,
which possesses global sections. The main goal will be to prove that giving
a morphism from X to CP^n is equivalent to give a line bundle over X and
(n+1) sections which do not vanish simultaneously.