AIS - Topics in Birational Geometry (2023)
Venue: Chennai Mathematical Institute, Kelambakkam
Dates: 22 May 2023 to 3 Jun 2023
Convener(s)
| Name: | Omprokash Das | Krishna Hanumanthu |
| Mailing Address: | Reader, Tata Institute of Fundamental Research Homi Bhabha Rd Mumbai 400 005 |
Associate Professor, Chennai Mathematical Institute H1, SIPCOT IT Park, Siruseri Kelambakkam 603103 |
| Email: | omdas at math.tifr.res.in | krishna at cmi.ac.in |
This program is intended for early Ph.D students interested in working in algebraic geometry. Some B.Sc and M.Sc students may also be able to attend depending on their background. There will be some preparatory lectures covering divisors, differentials, cohomology, blow ups, intersection products on surfaces and Riemann-Roch theorem on curves and surfaces. After that, the program will have lectures on the following topics: positivity properties of line bundles, rational curves on projective varieties, rationality properties (e.g. uniruled varieties, rational connectedness, etc), and the minimal model program.