AIS Operator Theory (2014)
|Venue:||Indian Statistical Institute, Bangalore|
|Dates:||2nd to 21st Jun, 2014|
|Convener(s)||Speakers, Syllabus and Time table||Applicants/Participants|
|Name||Prof. T. S. S. R. K. Rao||Dr. J. Sarkar|
|Mailing Address||Indian Statistical Institute,
R V College Post,
|Indian Statistical Institute,
R V College Post,
A brief Description :
In this advanced program we plan to cover rapidly in the first week,
Basic Functional Analysis, Hilbert space theory, and cover theory of Bounded linear Operators on Hilbet spaces, concrete operators on specific Hilbert spaces, theory of unbounded operators, including spectral theorems.
The second and third weeks will be devoted to Differential operators, Basics of spectral theory for bounded operators on Banach spaces and concrete operators and matrices -Toeplitz /Wigner types.
Six lectures on Complex geometry and Hilbert space operators, Bounded and compact composition operators on Orlicz and Banach Function spaces. Hardy space H^2 (D), Littlewood subordination Principle, bounded and compact composition operators on H^2 (D) and norm estimates.
Time permitting some future research directions will be indicated by all speakers.
|T. S. S. R. K. Rao
|7||Fundamental Concepts: Banach space theory, Basic theory of Hilbert spaces and operators on Hilbert spaces.|
| J. Sarkar
Operators on specific Hilbert function spaces, invariant subspaces.
| Pl Muthuramalingan
|6||Theory of unbounded operators and spectral theorems.|
| K B Sinha
|6||Types of unbounded operators, differential operators and several examples.|
|M. N. Namboodiri, CUSAT||8|| Basics of spectral theory for bounded operators on Banach spaces
and concrete operators and matrices -Toeplitz /Wigner types.
|T. Bhattacharya, IISc||7||Talk 1: Positive definite kernels, reproducing kernel Hilbert spaces,examples, Sz.-Nagy dilation of a single contraction: an existential proof.
Talk 2: An actual construction of the minimal isometric dilation due to Schaeffer. Realization formula for H-infinity functions of norm no greater than one.
Talk 3: Ando's dilation for a pair of commuting contractions. Ando's proof. von Neumann's inequality for a single contraction and for a pair of commuting contractions.
Talk 4: A different proof of Ando dilation for a pair of commuting matrices due to Agler and McCarthy. Distinguished variety of the bidisk. The interaction with geometry begins.
Talk 5: The symmetrized bidisc: geometric properties.
Talk 6 &7: A pair of commuting operators with the symmetrized bidisc as the spectral set. Its fundamental operator. Normal boundary dilation.
|Romesh Kumar, Jammu||8||Bounded and compact composition operators on Orlicz and Banach Function spaces. Hardy space H^2 (D), Littlewood subordination Principle, bounded and compact composition operators on H^2 (D) and norm estimates.|
6 June 2013
7 June 2013
21 June 2013
- Selected candidates will be contacted by e-mail by the organizers with instruction on how to reach the venue.
- They will be given a letter for the purpose of getting leave.
- No travel expenditure will be reimbursed (No TA/DA).
- Free board and lodging on sharing basis will be at ISI BC campus strictly from 1st June Sunday till 21st Saturday.
- Get room key on arrival from at security booth.
- Candidates are advised to depart post Lunch, Saturday the 1st of June. Stay before or beyond these dates is not possible.
|Sr.||SID||Full Name||Gender||Affiliation||State||Position||University/ Institute M.Sc./ M.A.||Year of Passing M.Sc./ M.A|
|1||5191||Mr. Santhosh Kumar Pamula||Male||IIT Hyderabad||Andhra Pradesh, Hyderabad||Research Scholar||University Of Hyderabad (HCU)||2012|
|2||5212||Mr Sivaramakrishnan C||Male||IIT Hyderabad||Andhra Pradesh, Hyderabad||Research Scholar||Department Of Mathematics, Periyar University, Salem, Tamil Nadu||2012|
|3||5216||Mr Veeramani . S||Male||IIT Hyderabad||Andhra Pradesh, Hyderabad||Not Applicable||Manonmaium Sundaranar University||2010|
|4||5229||Mr Anindya Ghatak||Male||National Institute of Science and Research||Orissa, Bhubaneswar||Ph.D||Calcutta University||2012|
|5||5235||Mr. Savan Ketankumar Patel||Male||Sardar Patel University||Gujarat, Anand||Ph.D||School of Science, Gujarat University.||2013|
|6||5250||Mr. Rakshitkumar Shashikant Upadhyay||Male||Department of Mathematics,Sardar Patel University.||Gujarat, Vallabh Vidyanagar||Ph.D||Department of Mathematics, Sardar Patel University.||2012|
|7||5259||Mr. Manish Kumar Pandey||Male||Department of Mathematics, Sardar Patel University||Gujarat, Anand||Ph.D||Sardar Patel University, Ahmedabad||2012|
|8||5329||Mr. Shankar P||Male||Kerala School Of Mathematics||Tamil Nadu, Kozhikode||Ph.D||Pondicherry University||2012|
|9||5331||Ms. Arundhathi Krishnan||Female||IIT Madras||Tamil Nadu, Chennai||Ph.D||Indian Institute of Technology Madras||2012|
|10||5342||Mr. Ajoy Jana||Male||IIT Madras||Tamil Nadu, Chennai||Ph.D||University Of Calcutta. (Dept. Of Pure Mathematics )||2013|
|11||5353||Mr Lavy Koilpitchai||Male||IIT Madras||Tamil Nadu, Chennai||Ph.D||Pondicherry University||2011|
|12||5496||Mr. Srijan Sarkar||Male||Indian Statistical Institute, Kolkata.||West Bengal, Kolkata||Ph.D||University Of Hyderabad, M.Sc.||2012|
|13||5542||Ms. Dipti Ratilal Patel||Female||Department of Mathematics, Sardar Patel University||Gujarat, Vallabh Vidyanagar||Ph.D||Department of Mathematics, Sardar Patel University, V. V. Nagar||2010|
|14||5570||Mr. Kislay Kishor||Male||Jawaharlal Nehru University||Delhi, New Delhi||Ph.D||University of Delhi||2010|
|15||5586||Ms. Kavitha R||Female||Manonmaniam Sundaranar University||Tamil Nadu, Tirunelveli||Ph.D||Manonmaniam Sundaranar University||2011|
|16||5588||Ms. Jamal Fathima||Female||Manonmaniam Sundaranar University||Tamil Nadu, Tirunelveli||Ph.D||Manonmaniam Sundaranar University||2010|
|17||5603||Mr Janson Antony A||Male||Chennai Mathematical Institute||Tamil Nadu, Chennai||Ph.D||University of Hyderabad||2013|
|18||5640||Mr Balesh K||Male||Cochin University of Science and Technology||Kerala, Ernakulam||Research Scholar||Cochin University of Science and Technology||2007|
|19||5685||Mr. Bijaya Kumar Sahu||Male||Indian Institute Of Bhubaneswar||Orissa, Bhubaneswar||Ph.D||Utkal University||2009|
|20||5776||Mr. Nishant Agrawal||Male||Indian Institute of Science Education and Research, Mohali||Punjab, Sas Nagar||MS Student||Indian Institute of Science Education and Research, Mohali||Appeared/ Awaiting Result|
|21||5805||Mr. Hitesh Gakhar||Male||IISER Mohali||Punjab, Mohali||BS-MS||IISER Mohali||Appeared/ Awaiting Result|
|22||5815||Ms. Rachana Shokhanda||Female||University of Delhi||Delhi, Delhi||M.Phil||Sri Venkateswara College, University of Delhi , M.Sc.||2013|
|23||5848||Ms Rani Kumari||Female||IIT Kanpur||Uttar Pradesh, Kanpur||Ph.D||Delhi University , M.A||2009|
|24||5850||Mr. Mahesh Kumar||Male||Lady Shri Ram College For Women, University of Delhi, Delhi.||Delhi, New Delhi||Asst. Prof.||M.Sc.(Math), University of Delhi||2007|
|25||5857||Ms. Reena||Female||University of Delhi||Delhi, New Delhi||
|University of Delhi||2011|
|1||5600||Mr Monojit Bhattacharjee||Male||Indian Institute Of Science||Karnataka, Bangalore||JRF||Hyderabad Central University||2011|
|2||5606||Mr. Somnath Hazra||Male||IISc. Bangalore||Karnataka, Bangalore||Ph.D||IIT Delhi||2011|
|3||5611||Mr. Samir Ch. Mandal||Male||Indian Institute of Science||Karnataka, Bangalore||Integrated Ph.D||2013|
|4||5642||Mr Soumitra Ghara||Male||Indian Institute of Science||Karnataka, Bangalore||Ph.D||Indian Institute of Science||2013|
|5||5820||Mr Md Ramiz Reza||Male||Indian Institute of Science.||Karnataka, Bangalore||Ph.D||Indian Institute of Science||2011|
|6||5829||Mr. Rajeev Gupta||Male||Indian Institute of Science, Bangalore||Karnataka, Bangalore||Ph.D||Indian Institute of Technology, Delhi||2010|
* Will attend lectures with no support
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.