ISL Functional Analysis (2015)

Venue: IIT Kanpur
Dates: 18th - 30th May, 2015

 

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

 

School Convener(s)
Name Sudipta Dutta

Sameer Chavan
Mailing Address Department of Math and Stat
Indian Institute of Technology Kanpur
Kanpur 208016
U.P.  India		 Department of Math and Stat
Indian Institute of Technology Kanpur
Kanpur 208016
U.P.  India

 

Speakers and Syllabus 

 Speakers:

  • Sameer Chavan, IIT Kanpur (First Week)
  • V.M. Sholapurkar, S.P. College, Pune (First Week)
  • Sudipta Dutta, IIT Kanpur (Second Week)
  • Biswaranjan Behera, IIT Kanpur (Second Week)
  • Unity of Mathematics Lecture: Shobha Madan, IIT Kanpur

Course Associates:

Divya Khurana and Rani Kumari , IIT Kanpur

Syllabus covered with names of the speakers:

(1) Module 1: (6 lectures First week Lecture Slot 1) Normed linear spaces, Continuous linear transformations, Hahn-Banach theorems-analytic and geometric versions.

(Speaker: V. M. Sholapurkar)

(2) Module 2: (6 lectures First week Lecture Slot 2) Hilbert spaces, Riesz representation, Lax-Milgram lemma and application to variational inequalities,Orthonormal bases.

(Speaker: S. Chavan)

(3) Module 3: (6 lectures Second week Lecture Slot 1) Baire’s theorem and applications: Uniform boundedness principle and application to Fourier series, Open mapping and closed graph theorems, annihilators, complemented subspaces.

(Speaker: S. Dutta)

(4) Module 4: (6 lectures Second week Lecture Slot 2) Weak and weak* topologies,Applications to reflexive separable spaces, Uniformly convex spaces, Operators on Hilbert spaces.

(Speaker: B. Behera)

Tutorial slot I Divya Khurana (accompanied by Speaker I on that day),
Tutorial slot II Rani Kumari (accompanied by Speaker II on that day),

References:

1. W. Rudin, Functional Analysis.
2. J.B. Conway, A course in Functional Analysis.

Time Table (Daily Schedule):

9.30-11.00 11.00-11.30 11.30-1.00 1.00-2.30 2.30-3.30 3.30-4.00 4.00-5.00 5.00-5.30
Lecture 1 Tea Lecture 2 Lunch Tutorial Tea Tutorial Snacks

 

Selected Applicants

 

Sr  Fullname Gender Affiliation State Position in College/ University University/ Institute M.Sc./M.A. Year of Passin g M.Sc./ M.A Ph.D. Deg Date
1 Dr. Vikas Kumar Male Manipal University Jaipur Rajasthan Asst. Prof. University of Rajasthan 2006 7/16/2012
2 Mr Pandiya Raj Rajendran Male Pondicherry University Pondicherry MPhil Madurai Kamaraj University 2006  
3 Dr. Debasisha Mishra Male National Institute of Technology Raipur Chhattisgah Asst. Prof. Utkal University, Bhubaneswar, Odisha 2004 5/18/2012
4 Mr. Aswin Kumar Rauta Male S.K.C.G.College Orissa Lecturer Berhampur University 2003  
5 Dr. Uday Shankar Chakraborty Male Assam University, Silchar Assam Asst. Prof. Assam University, Silchar 2004 1/27/2010
6 Mr. Prasad ShrikrushnaLonkar Male S.P.College, Pune. Maharashtra Asst. Prof. University of Pune 2012  
7 Mrs Shamal Ramesh Deshmukh Female Modern College Of Arts Science and Commerce Maharashtra Asst. Prof. University of Pune 2000  
8 Ms. Sudeshna Roy Female IIT BOMBAY Maharashtra PhD Jadavpur University 2013  
9 Mrs. Geetanjali Milind Phatak Female S. P. College Maharashtra Asst. Prof. Pune University 2000  
10 Mr. Samriddho Roy Male IIT Bombay Maharashtra PhD Jadavpur University 2013  
11 Mr. Mandar Narayan Khasnis Male SMT. CHANDIBAI HIMATHMAL MANSUKHAN I COLLEGE Maharashtra Asst. Prof. University of Mumbai 2003  
12 Mr. Aftab Alam Male AMU UP Ph.D. student AMU 2010  
13 Dr. Gyan Chandra Singh Yadav Male University of Allahabad UP Asst. Prof. University of Allahabab 2004 5/5/2010
14 Dr. Sam Johnson Male NIT Karnataka   Assistant Alagappa 2000 12/22/200
15 Mrs. Nisha Nishant Parmar Female Shri  Shankaracharya Institute of Professional Management and Technology, Raipur Chhattisgarh Asst. Prof. The Maharaja Sayajirao University of Baroda, Vadodara 2012  
16 Mr. Khursheed Jamal Ansari Male AMU UP PhD Student BANARAS HINDU UNIVERSITY 2010  
17 Mr, Aditya Bhan Ojha Male govt. college dharamshala HP Asst. Prof. MDS university ajmer 2009  
18 Mr. Asif Khan Male AMU UP Asst. Prof. AMU 2005 12/16/201 4
19 Mr. Md Nasiruzzaman Male AMU UP Reserch Scholar IIT GUWAHATI 2012  
20 Mrs Saee Aditya Joshi Female Ramnarain Ruiacollege MH Asst. Prof. IIT Kanpur 2010  
21 Mr. Ashish Kumar Sharma Male Banasthali Vidyapith Rajasthan Rajasthan PhD UNIVERSITY OF ALLAHABAD 2008  
22 Mr D. Durga Prasad Male Yadava College Tamilnadu Tamilnadu Asst. Prof. Yadava College 2009  
23 Mr. A. P. Reddy Male V. S. K. University Karnataka Asst. Prof. Karnatak University 2002  

 

 How to reach

IIT Kanpur

By Air:
Most Visitors to IIT Kanpur get off at Lucknow Airport, and take a taxi from the airport taxi stand to IIT, which is around one and half to two hours. Taxis booked from IIT campus for pick up at the airport charge Rs. 1000 to 1500 (depending on vehicle type and AC/non-AC). Flights between Delhi-Lucknow are almost every hour between 6am-9pm. Mumbai-Lucknow and Kolkata-Lucknow also have direct flights. Plus, there is one midday ATR flight of AI between Delhi-Kanpur. International Travellers, please ensure there is an adequate time gap between your connecting flights/trains, because in January due to fog and low visibility, flights and trains get delayed most of the time.

By Railway:
Kanpur is connected by rail with all metros, and with high speed trains from Delhi and Kolkata. The Delhi-Kanpur connection ranges from 5 hour travel in morning/evening to overnight trains. IIT Kanpur is about 16 kms from the Kanpur Central Railway Station. Taxis and Three-wheelers are available from the Cantonment side (Platform No. 1 side) of the Kanpur Central Railway Station. The rates are around Rs. 200/- to 250/- for a taxi and Rs. 130/- for a Three-wheeler. Visitors are expected to reach the Guest House (Visitors' Hostel) in the IIT-campus for accommodation.

By Road:
Kanpur is connected on NH2 running between Amritsar and Kolkata and connecting cities like Delhi, Agra, Allahabad, Patna. It is about 480 km from Delhi through this highway. Kanpur is also connected to Lucknow on NH25 and is about 91 km from Lucknow. Kanpur is connected to Delhi (440 Km) through another parallel highway NH81 and passing through Ghaziabad, Aligarh.

Email id of the Conveners

chavan at iitk.ac.in
sudipta at iitk.ac.in