Tentative Schedule

All lectures are in Seminar Hall.

First Week
Monday
(January 30)		 Tuesday
(January 31)		 Wednesday
(February 1)		 Thursday
(February 2)		 Friday
(February 3)		 Saturday
(February 4)
9:30 - 11:00 TR DSN TR MK TR TR
11:00 - 11:30 Coffee Break
11:30 - 13:00 KH DSN KH MK MK KH
13:00 - 14:00 Lunch
14:00 - 15:00 Tutorials
15:00 - 15:30 Coffee Break
15:30 - 16:30 Tutorials


Second Week
Monday
(February 6)		 Tuesday
(February 7)		 Wednesday
(February 8)		 Thursday
(February 9)		 Friday
(February 10)
9:30 - 11:00 BH BH KH BH BH
11:00 - 11:30 Coffee Break
11:30 - 13:00 BH BH MSN BH BH
13:00 - 14:00 Lunch
14:00 - 15:00 Tutorials
15:00 - 15:30 Coffee Break
15:30 - 16:30 Tutorials
18:30 - 20:30
Carnatic vocal concert
Manda Sudha Rani and party		 19:00
Banquet at
Gokulam Park Sabari

  • Brian Harbourne (BH): Seshadri constants, Waldschmidt constants and resurgences.
    Abstract: Recent work on ideal containments has led to the development of the concept of the resurgence, a new asymptotic invariant of ideals, which in turn has led to renewed interest in a quantity introduced in the late 1970s by Waldschmidt, now called Waldchmidt constants, which have connections to other asymptotic invariants such as Seshadri constants (introduced in the 1990s by Demailly), to resurgences (introduced by Bocci-Harbourne in 2000s) and Harbourne constants (growing out of a workshop at Oberwolfach in 2010). Harbourne's lectures for this school will cover aspects of all three of these invariants, their relationships, and some of their applications in Algebraic Geometry and Commutative Algebra. Notes (updated on April 6, 2017)

  • T. R. Ramadas (TR): Divisors and line bundles, and maps to projective spaces, Intersection theory on surfaces, Riemann-Roch for surfaces, Nakai, Kleiman, and Seshadri criteria for ampleness. Notes

  • Krishna Hanumanthu (KH): Cohomology of coherent sheaves, cohomology of line bundles on projective space. Seshadri constants, Waldschmit constants. Bounds on Seshadri constants. Notes

  • D. S. Nagaraj (DSN): Riemann-Roch for curves, blow-ups of surfaces.

  • Manoj Kummini (MK): Serre duality. Notes

  • M. S. Narasimhan (MSN): Birational Geometry.

  • Carnatic vocal concert:
    Smt. Manda Sudha Rani - Vocal
    Kum. Manda Sruti Ravali - Vocal support
    Sri Mysore V. Srikanth - Violin
    Sri K. Arun Prakash - Mridangam