AIS Algebraic Geometry (2016)

Venue:	Indian Statistical Institute (ISI), Bangalore
Dates:	6^th May - 4^th June, 2016

Convener(s)

Speakers, Syllabus and Time table

Applicants/Participants

School Convener(s)
Name	Jishnu Biswas	Shreedhar Inamdar	Amit Tripathi
Mailing Address	Indian Statistical Institute (ISI) 8th Mile, Mysore Road, EVCE Post, Bangalore 560 059	Indian Statistical Institute (ISI) 8th Mile, Mysore Road, EVCE Post, Bangalore 560 059	National Institute of Science Education and Research, P.O - Jatni, District Khordha, Odisha, Pin code - 752050 India

Speakers and Syllabus

Speakers with their affiliations

Shreedhar Inamdar (ISI, Bangalore)
Amit Tripathi (NISER, Bhubaneswar)
Umesh Dubey (IISc, Bangalore)
Manish Kumar (ISI, Bangalore)
Suresh Nayak (ISI, Bangalore)
Jishnu Biswas (ISI, Bangalore)

Speaker	Title of the Talk
Shreedhar Inamdar ISI, Bangalore	1. Noether normalization and Hilbert Nullstellensatz, affine space and closed subsets, irreducible sets, regular functions and regular maps, rational functions and rational maps. 2. Products of quasi-projective varieties, image of a projective variety under a regular map is closed. 3. Finite maps, geometric version of Noether normalization. 4. Dimension theory.
IISc., Bangalore	1. Properties of nonsingular points 2. Blow-ups and birational maps 3. Normal varieties. 4. Singularities of maps.
Manish Kumar ISI Bangalore	1. Divisors. 2. Divisors on curves 3. The plane cubic.
Suresh Nayak ISI Bangalore	1. Algebraic groups 2. Differential forms, examples, applications 3. Riemann Roch theorem
Jishnu Biswas ISI Bangalore	1. Intersection number and applications 2. Birational maps of surfaces 3. Singularities of curves and surfaces

WEEK 1 (May 16 – 21, 2016)

Day	Date	Lecture1 (9.30-11.00)	Tea (11.00-11.30)	Lecture 2 (11.30-1.00)	Lunch (1.00-2.30)	Tutorial (2.30-3.30)	Tea (3.30 -4.00)	Tutorial (4.00-5.00)	Snacks 5.00-5.30
		Speaker	Tea	Speaker	Lunch	Tutor	Tea	Speaker	Snacks
Mon	16-05-2016	SI		AT		SI		AT
Tues	17-05-2016	SI		AT		SI		AT
Wed	18-05-2016	SI		AT		SI		AT
Thu	19-05-2016	SI		AT		SI		AT
Fri	20-05-2016	SI		AT		SI		AT
Sat	21-05-2016	SI		AT		SI		AT

SI – Shreedhar Inamdar, AT – Amit Tripath

WEEK 2 (May 23 – 28, 2016)

Day	Date	Lecture1 (9.30-11.00)	Tea (11.00-11.30)	Lecture 2 (11.30-1.00)	Lunch (1.00-2.30)	Tutorial (2.30-3.30)	Tea (3.30 -4.00)	Tutorial (4.00-5.00)	Snacks 5.00-5.30
		Speaker	Tea	Speaker	Lunch	Tutor	Tea	Speaker	Snacks
Mon	23-05-2016	UD		MK		UD		MK
Tues	24-05-2016	UD		MK		UD		MK
Wed	25-05-2016	UD		MK		UD		MK
Thu	26-05-2016	UD		MK		UD		MK
Fri	27-05-2016	UD		MK		UD		MK
Sat	28-05-2016	UD		MK		UD		MK

UD – Umesh Dubey, MK – Manish Kumar

WEEK 3 (May 30 – June 04, 2016)

Day	Date	Lecture1 (9.30-11.00)	Tea (11.00-11.30)	Lecture 2 (11.30-1.00)	Lunch (1.00-2.30)	Tutorial (2.30-3.30)	Tea (3.30 -4.00)	Tutorial (4.00-5.00)	Snacks 5.00-5.30
		Speaker	Tea	Speaker	Lunch	Tutor	Tea	Speaker	Snacks
Mon	30-05-2016	SN		JB		SN		JB
Tues	31-05-2016	SN		JB		SN		JB
Wed	01-06-2016	SN		JB		SN		JB
Thu	02-06-2016	SN		JB		SN		JB
Fri	03-06-2016	SN		JB		SN		JB
Sat	04-06-2016	SN		JB		SN		JB

SN – Suresh Nayak, JB – Jishnu Biswas

Tutorial Assistants:
Sl No	Name	Affiliation
1	Souradeep Majumder	ISI, Bangalore
2	Subham Sarkar	ISI, Bangalore
3	Pratik Mehta	ISI, Bangalore
4	Saurabh Singh	ISI, Bangalore
5	Kalyan Banerjee	ISI, Bangalore
6	Vaibhav Vaish	ISI, Bangalore

Actual Participants

Sl No	Full Name	Affiliation
1	Ms. Arpita Nayek	IIT, Kanpur
2	Mr. Soumitra Das	North-Eastern Hill University, Shillong
3	Mr. Mohan R	Indian Statistical Institute, Bangalore
4	Ms. Namita Sharma	University of Delhi
5	Mr. Sumit Roy	Ramakrishna Mission Vivekananda University, Howrah
6	Mr. Abhishek Kumar Shukla	IISER, Pune
7	Mr. Arnab Dey Sarkar	IISER, Bhopal
8	Mr. Prasant Singh	IIT, Bombay
9	Mr. Snehajit Misra	The Institute of Mathematical Sciences, Chennai
10	Mr. Rajib Sarkar	Chennai Mathematical Institute, Chennai
11	Ms. Nabanita Ray	The Institute of Mathematical Sciences, Chennai
12	Ms. Sudeshna Roy	IIT, Bombay
13	Mr. Rupam Karmakar	Institute of Mathematical Sciences, Chennai
14	Mr. Suraj Prakash Yadav	IIT, Kanpur
15	Mr. Amit Roy	IISER Mohali, Chandigarh
16	Ms. Poornapushkala Narayanan	IIT Madras, Chennai
17	Mr. Provanjan Mallick	IIT, Bombay
18	Mr. Amit Kumar Singh	IIT, Madras
19	Mr. Praveen Kumar Roy	CMI, Chennai
20	Mr. Sarjick Bakshi	CMI, Chennai
21	Mr. Praphulla Koushik	Indian Institute of Technology, Mumbai
22	Mr. Arijit Mukherjee	Hyderabad Central University, Hyderabad
23	Mr. Navaneeth C C	Chennai Mathematical Institute, Chennai
24	Mr. Arpit Kansal	Chennai Mathematical Institute, Chennai
25	Mr. Sagar Shrivastava	NISER, Khurda
26	Mr. Pinakinath Saha	CMI, Chennai
27	Mr. Anoop Singh	Harish Chandra Research Institute, U.P
28	Ms. Samarpita Ray	IISc, Bangalore
29	Mr. Sridhar V	Bangalore
30	Mr. Amit Maji	ISI, Bangalore
31	Mr. Pravakar Paul	ISI, Bangalore
32	Mr. Abhra Abir Kundu	ISI, Bangalore
33	Mr. Subham Sarkar	ISI, Bangalore
34	Ms. Ashvni Narayanan	ISI, Bangalore
35	Ms. Kriti Goel	Indian Institute of Technology, Bombay
36	Mr. Subhodip Mondal	ISI, Bangalore
37	Mr. Swaraj Sridhar Pande	ISI, Bangalore

How to reach

By Air
- Bangalore International Airport is approximately one And a half hour drive from the Institute. It handles direct flights from a number of national and international destinations. A journey by taxi from the air port to the Institute will cost approximately Rs.900.

By Rail
- Bangalore, the "Garden city of India" is well connected with rail and roads. There are plenty of trains from all the major cities of India to Bangalore City. Indian Statistical Institute, which is next to the Bangalore University, is about 12 km on the way to Mysore from the city . A journey by taxi from the railway station to the Institute will take approximately 30 minutes and cost approximately Rs.150.

By Bus
- The city bus service is known as BMTC (or BTS) and its main terminal is right opposite the city railway station. Please use the subway from outside the railway station to reach the BTS bus station. (The area that covers the railway station, bus station etc. is known as Majestic.) You may take a Kengeri bound bus (nos. 222A, 226A and 403A) from platform no. 19A to come to ISI. Platform no. 19A is closest to the railway station. Ask for a ticket to "Jairamdas Bus stop". (The ISI bus stop is known as 'Jairamdas'.) This bus stop is just after the University Gate bus stop and just before the R. V. College bus stop. The bus journey takes 30-40 minutes.

By Auto/Taxi
- ISI is approximately 12 km from the Bangalore City railway station. You may hire an auto-rickshaw to reach ISI. Please hire an auto only from the police manned auto-stand just outside the railway station. The meter fare by auto-rickshaw from the railway station to ISI is approximately Rs. 55. However, you may have to pay one and a half times the actual meter fare.
- If you take an auto at the Railway/Bus station you will soon get on to Mysore Road. You will travel by the side of a long fly-over. End of the fly over is 8 km from ISI. Continue on Mysore Road - After some time you will get the BHEL factory on your right (4 km from ISI) -- continue on Mysore Road - soon you will get the huge Rajarajeshwari Nagar Arch (2 km from ISI) on your left - continue on Mysore Road - after some time you get the Jnanabharathi Campus of the Bangalore University (one km from ISI) on your right - continue on Mysore Road (do not enter the Bangalore University Campus)- Just about one km down Mysore Road, you get a Railway Level Crossing on your right. Enter through the railway gate to reach ISI. Once you get on to Mysore Road, always be on it till you reach the Railway Level Crossing. Next to the railway gate, on Mysore Road, is Azad Coach Builders factory. If, by mistake, you reach the R V College of Engineering, you have gone past ISI by a km. Turn back and start looking for the Railway Level Crossing on your left now.
- If you arrive during the office hours (9.30 AM to 5.30 PM) contact the Security Officer Sri. Sunderarajan, who will direct you to your room. Outside office hours, you may seek assistance from the security guards at the gates.