8:00am 


9:00am 


10:00am 


11:00am 


12:00pm 


1:00pm 


2:00pm 
[2:45pm] Amalendu Krishna :TIFR, Mumbai
 Description:
 Mathematics Colloquium Talk II.
Speaker: Amalendu Krishna.
Affiliation: TIFR, Mumbai.
Date and Time: Wednesday 25 September, 2:45 pm  3:45 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Revisiting Bertini theorems.
Abstract: The classical Bertini theorem in algebraic geometry says that a
general hyperplane section of a smooth quasiprojective subvariety of a
projective space over an algebraically closed field is also smooth. It was
already known long time ago that such a result holds over any infinite
field. However, this turned out to be false over finite field, as Katz
showed. Poonen then showed that Bertini theorem can be salvaged over
finite fields by allowing hypersurfaces of large degree rather than just
hyperplanes. In this talk, we shall revisit these Bertini theorems. In
particular, we shall prove new Bertini theorems for normal and integral
schemes over finite fields. This is based on a joint work with Mainak
Ghosh.


3:00pm 

4:00pm 
[4:00pm] Omprokash Das: TIFR, Mumbai
 Description:
 Mathematics Colloquium Talk III.
Speaker: Omprokash Das.
Affiliation: TIFR, Mumbai.
Date and Time: Wednesday 25 September, 4:00 pm  5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Birational classification of algebraic varieties.
Abstract: Algebraic varieties are common solutions of bunch of
multivariable polynomials equations, for example, straight line, circle,
cuspidal curve, nodal curve, sphere, etc. Classifying all algebraic
varieties up to isomorphism is the ultimate goal of algebraic geometry. Of
course, this is nearly impossible achieve, so we consider various weaker
form of classification, and classifying varieties ‘Birationally’ is of
those tools. In this talk I will explain what it means to classify
varieties birationally, what are the difficulties in higher dimensions and
the role of Minimal Model Program (MMP) in birational classification.


5:00pm 


6:00pm 

