AIS Schemes and Cohomology (2010)

Venue: KSOM, Calicut
Dates: 28 Jun-16 Jul, 2010

 

Convener(s) Speakers, Syllabus and Time table Applicants/Participants

 

School Convener(s)

Name A. J. Parameswaran
V. Balaji

Mailing Address KSOM, KUNNAMANGALAM (PO), KOZHIKODE KSOM, KUNNAMANGALAM (PO), KOZHIKODE

 

Speakers and Syllabus 

 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.

 

 Selected Applicants

 

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