ISL Functional Analysis (2015)
|Dates:||18th - 30th May, 2015|
|Convener(s)||Speakers, Syllabus and Time table||Applicants/Participants|
|Mailing Address||Department of Math and Stat
Indian Institute of Technology Kanpur
|Department of Math and Stat
Indian Institute of Technology Kanpur
- 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
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),
1. W. Rudin, Functional Analysis.
2. J.B. Conway, A course in Functional Analysis.
Time Table (Daily Schedule):
|Lecture 1||Tea||Lecture 2||Lunch||Tutorial||Tea||Tutorial||Snacks|
|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
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.
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.
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