AIS Schemes and Cohomology (2010)
Venue: | KSOM, Calicut |
Dates: | 28 Jun-16 Jul, 2010 |
Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
Name | A. J. Parameswaran |
V. Balaji |
Mailing Address | KSOM, KUNNAMANGALAM (PO), KOZHIKODE | KSOM, KUNNAMANGALAM (PO), KOZHIKODE |
Advanced Instructional School on Schemes & Cohomology is being organised at KSOM, Kozhikode in the month of June - July 2010.
Speakers
1 | Suresh Naik |
2 | D. S. Nagaraj |
3 | TEV Balaji |
4 | A. J. Parameswaran |
5 | K. N. Raghavan |
6 | V. Balaji |
7 | Vivek Mallik |
Syllabus
The AIS will be directed towards making young researchers in India familiar with the developments in Algebraic Geometry, with special emphasis on Grothendieck's programme. The three week programme is primarily aimed at early researchers in this field to become familiar and users of the tools and techniques in this subject.
Topics
Sheaves, schemes, elementary properties of schemes, morphisms, invertible sheaves and bundles, differ-entials, valuative criterion, Bertini's theorems, Lefschetz hy-perplane section theorem. Derived functors, cohomology of sheaves, Cech cohomology, Cohomology of projective space,Serre duality, semicontinuity theorems , Zariski's main theorem and Zariski's connectedness theorem, Fulton-Lazarsfeld con-nectedness theorem. Applications to Brill-Noether theory.
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1 | ABHAY ANANT SOMAN | Indian Institute of Technology, Bombay |
2 | AJAY KUMAR | IISER Mohali |
3 | BONALA NARASIMHA CHARY | Chennai Mathematical |
4 | JONATHAN FERNANDES | Indian Institute of science, Bangalore |
5 | KAJAL DAS | The Institute of Mathematical Sciences |
6 | PABITRA BARIK | Chennai Mathematical Institute |
7 | PADMAVATHI. S | Chennai Mathematical Institute |
8 | PRADEEP CHAKRABORTY | The Institute of Mathematical Sciences |
9 | PREENA SAMUAL | The Institute of Mathematical Sciences |
10 | PREETINDER SINGH SANDHU | IISER Mohali |
11 | RAHUL SINGH | Chennai Mathematical Institute, |
12 | RAVULAPALLE SREKANTH | University of Hyderabad |
13 | ROHITH VARMA | Chennai Mathematical Institute |
14 | SAMPATH LONKA | University of Hyderabad |
15 | SANJAY SINGH | Tata Institute of Fundamental Research |
16 | SANTHOSH KUMAR PATTANAYAK | Chennai Mathematical Institute |
17 | SARITHA VISWANADHAN | IIT Madras |
18 | SESHADRI CHINTAPALLI | University of Hyderabad |
19 | SREEDEVI KALYANI MASUBI | IIT Bombay |
20 | SREEDHAR SAI SOMANJANA BHAMIDI | Indian Statistical Institute, Bangalore |
21 | SUDARSHAN R. GURJAR | --not available-- |
22 | SURANTO BASU | ISI, Kolkata |
23 | SWAPNIL ASHOK LOKHANDE | Indian Institute of Technology, Bombay |