AIS Schemes and Cohomology (2010)
Venue:  KSOM, Calicut 
Dates:  28 Jun16 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, differentials, valuative criterion, Bertini's theorems, Lefschetz hyperplane 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, FultonLazarsfeld connectedness theorem. Applications to BrillNoether theory.

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 