ATMW Operator Theory and Operator Algebras (2014)

Venue: Indian Statistical Institute, Bangalore
Dates: 9th to 19th Dec, 2014

 

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

 

School Convener(s)
Name B. V. R. Bhat Jaydeb Sarkar V. S. Sunder
Mailing Address Professor,
Indian Statistical Institute, 8th Mile, Mysore Road, RVCE Post, Bangalore 560059.		 Assistant Professor,
Indian Statistical Institute, 8th Mile, Mysore Road, RVCE Post, Bangalore 560059. 		 Professor,
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113. 

 

Speakers and Syllabus 

Syllabus

 Name of   the Speaker Affiliation  No. of Lectures *  Title Abstract
Hari Bercovici Indiana University Bloomington, USA  5 Schubertcalculus and operator theory Schubert calculus is the intersection theor associated with Grassmann manifolds. It answers enumeration questions such as the following one: given four lines in three-dimensional space, how many lines intersect all four? (Assume the lines are in ”general position”.) The answers to these questionscan be obtained algortihmically using the Littlewood-Richardson rule. The same rule is seen to appear in the classification of the invariant susbspacesof certain operators, and it is also useful in characterizing the eigenvalues of sums of matrices or the singular values of products. In these lectures we will introduce the basic facts of intersection theory and show how they are applied in various questions of operator theory.
David Kerr Texas A&M University, USA  5 Amenability, soficity, entropy, and operator algebras The notion of amenability has long played a fundamental role in the study of both operator algebras and locally compact groups. The internal kind of finite approximation that it represents leads both to an elaborate structure theory in many cases and to the formulation of numerical invariants like entropy. Amenability admits an external counterpart for groups in the form of soficity, the idea of which was introduced by Gromov in the late 1990s in the framework of Gottschalk’s surjunctivity conjecture. While the much weaker concept of soficity cannot be expected to provide any kind of detailed structural picture, it does lend itself to the definition of an invariant like entropy, as Bowen discovered in a remarkable breakthrough a few years ago. One outcome of Bowen’s work is a far-reaching generalization of the Ornstein-Weiss classification of Bernoulli actions over countably infinite amenable groups. I will discuss both amenability and soficity for groups, their relationship
to operator algebras, and their role in the theory of dynamical entropy. In particular I will discuss the Fuglede-Kadison determinant in group von Neumann algebras as it arises in the calculation of entropy for algebraic actions.
Elias
Katsoulis 		(East Carolina University, USA).   Non-Selfadjoint Operator Algebras: dynamics, classification and
C*-envelopes.		 The goal of these lectures is twofold. The first goal is to offer an introduction to non-selfadjoint operator algebra theory keeping in perspective the historical development of the subject. Starting with the nest and CSL algebras we will move forward towards more łmodern˛ algebras, including semicrossed products  of C*-algebras, graph algebras and their generalizations, tensor algebras of C*-correspondences.  The central results of each theory will be reviewed and in certain cases we will sketch proofs.

The other goal of the lectures is to demonstrate the delicate interplay between dynamics, dilation theory and the classification of certain non-sefadjoint operator algebras. These ideas originate in the work of Arveson in the sixties and recently there has been a good deal of activity in that subject.  will introduce the C*-envelope of an operator algebra and review some the general theory (existence, maximal dilations, boundary representations).  In certain concrete cases, the C*-envelope will be
calculated explicitly. In particular, I will explain how to build various operator algebras from multivariable dynamical systems and calculate, whenever possible, their C*-envelopes. For these multivariable algebras I will also offer various classification schemes, which in certain cases are complete.
Dan Timotin Institute of Mathematics of the Romanian Academy, Romania  5 Stable polynomials and the solution to the Kadison-Singer conjecture
Short syllabus:		 • Stable polynomials: some results of Borcea and Branden
• Interlacing families of polynomials
• The Kadison-Singer conjecture and some reformulations
• The mixed characteristic polynomial
• Estimates on the roots of the mixed characteristic polynomials
• Discrepancy theory - Solution to the Kadison-Singer conjecture

For any further clarification: please check our workshop website:

http://www.isibang.ac.in/~jay/OTOA2014/schedule.html

Time Table

Day Date Lec1 Tea Lec2 Lec3 Lunch Lec4 Tea Tutorial
1 9-12-2014 10-11 (B) 11 – 11.30 11.30-12.30 (P) 12.30-1.130 (T) 1.30-2.30 2.30-3.30 (K) 3.30-4.00 4.00-5.00
2 10-12-2014 10-11 (B) 11 – 11.30 11.30-12.30 (P) 12.30-1.130 (T) 1.30-2.30 2.30-3.30 (K) 3.30-4.00 4.00-5.00
3 11-12-2014 10-11 (B) 11 – 11.30 11.30-12.30 (P) 12.30-1.130 (T) 1.30-2.30 2.30-3.30 (K) 3.30-4.00 4.00-5.00
4 12-12-2014 10-11 (B) 11 – 11.30 11.30-12.30 (P) 12.30-1.130 (T) 1.30-2.30 2.30-3.30 (K) 3.30-4.00 4.00-5.00
5 13-12-2014 10-11 (B) 11 – 11.30 11.30-12.30 (P) 12.30-1.130 (T) 1.30-2.30 2.30-3.30 (K) 3.30-4.00 4.00-5.00

B: Bercovici. P: Paulsen. T: Timotin. K: Kerr.

NOTE: The main speakers will deliver their 6th talk in the conference. Also the tutorials will be handled by the speakers.  (*)

Selected Applicants/Participants

For OTOA-2014 participants (selected through NCM)

  1.  Date of Arrival: December 8th noon AND Departure: December 20th noon.
  2.  Accommodation will be arranged in campus on sharing basis. There will be no campus accommodation for local (Bangalore) participants. Information about accommodation will be updated in the conference website. Please keep checking after November 2014: http://www.isibang.ac.in/~jay/OTOA2014/OTOA14.html
  3. You must confirm your participation by sending a mail to otoa.conference@gmail.com on or before November 1st, 2014.
  4. You are encouraged to give a talk in the OTOA-2014 conference part. The deadline for submitting (to otoa.conference@gmail.com) an abstract is November 1, 2014.
  5. We may reimburse train fare (3AC for research scholars and PhD holders and Sleeper class for master’s and MPhil students, from the work place to Bangalore and back in shortest route). Please bring a copy of your rail ticket.
Sr. SID Full Name Gender Affiliation City, State Position University/ Institute M.Sc. / M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 6136 Ms. Preeti Sharma Female Sardar Vallabhbhai National Institute of Technology, Surat Surat, Gujarat Ph. D. Scholar M.Sc 2012  
2 6354 Mr. Shard Rastogi Male University of Delhi New Delhi, Delhi PhD CCS University, Meerut 2010  
3 6359 Ms. Gargi Ghosh Female IISER Kolkata Mohanpur, West Bengal Integrated PhD student IISER Kolkata Appeared/ Awaiting Result  
4 6365 Mr. Harsh Trivedi Male IIT Bombay Mumbai, Maharashtra Ph.D. student M.Sc. 2006  
5 6402 Ms Geethika Sebastian Female IIT Hyderabad Hyderabad, Andhra Pradesh PhD IIT Guwahati 2013  
6 6431 Mr. Priyabrata Bag Male Department of Mathematics, IIT Bombay Mumbai, Maharashtra PhD Visva-Bharati, M.Sc. 2010  
7 6444 Mr. Shankar P Male Kerala School Of Mathematics Calicut, Kerala PhD Pondicherry University 2012  
8 6452 Mr. Preetinder Singh Sandhu Male IISER MOHALI Mohali, Punjab PhD Panjab University 2008  
9 6469 Mr. Santhosh Kumar Pamula Male IIT HYDERABAD Hyderabad,Andhra Pradesh PhD University of Hyderabad 2011  
10 6471 Mr. Jadav Ganesh Male IIT Hyderabad Hyderabad, Andhra Pradesh Ph.D University of Hyderabad 2003  
11 6482 Ms Rashmirekha Patra Female Samblpur University Sambalpur, Orissa PhD student Utkal University 2010  
12 6504 Ms. Rachana Shokhanda Female University of Delhi Delhi, Delhi M.Phil. Student Sri Venkateswara College, University of Delhi , M.Sc. 2013  
13 6505 Mr. Madhav Reddy B Male Indian Statistical Institute, Kolkata Kolkata, West Bengal Ph.D Student University of Hyderabad 2010  
14 6524 Mr. Rajeev Gupta Male Indian Institute of Science Bangalore, Karnataka PhD Indian Institute of Technology, Delhi 2010  
15 6532 Mr. Narayan Rakshit Male Indian Statistical Institute Kolkata, West Bengal PhD student Indian Institute of Technology , Kanpur / M.Sc 2011  
16 6540 Mr Md Ramiz Reza Male Department Of Mathematics, Indian Institute of Science. Bangalore, Karnataka Int PhD Indian Institute of Science 2011  
17 6642 Mr. Issan Patri Male IMSc Chennai, Tamil Nadu SRF University of Cambridge 2009  
18 6667 Ms. Vandana Rajpal Female Shivaji College Delhi Asst. Prof. I.I.T., Delhi 2009  
19 6736 Mr. Haripada Sau Male Indian Institute of Science Bangalore, Karnataka Ph.D. Indian Institute of Science 2012  
20 6853 Mr. Prahllad Deb Male Indian Institute of Science Education and Research Kolkata Kolkata, West Bengal Ph.D student Indian Institute of Science 2012  
21 6933 Mr Veeramani .S Male Indian Institute of Technology Hyderabad Medak,Andhra Pradesh Phd Manonmaium Sundaranar University 2010  
22 7015 Mr. Kislay Kishor Male JNU New Delhi, Delhi Ph.D University Of Delhi,Delhi 2010  
23 7163 Mr. Amit Maji Male I.I.T Kharagpur Kharagpur, West Bengal Pursuing PhD I.I.T Madras 2009  
24 7187 Mr. Priyadarshi Dey Male IISER Kolkata Nadia, West Bengal MSc Student IISER Appeared/ Awaiting Result  
25 7209 Ms. Reena Female University of Delhi New Delhi, Delhi M. PHIL UNIVERSITY OF DELHI 2011  
26 7374 Mr Soumitra Ghara Male Indian Institute of Science Bangalore, Karnataka Phd Indian Institute of Science, Bangalore 2013  
27 7394 Mr. Somnath Hazra Male IISc BANGALORE Bangalore, Karnataka Ph.D. IIT DELHI 2011  
28 7426 Mr Monojit Bhattacharjee Male Indian Institute of Science Bangalore, Karnataka Phd   2011  
29 7443 Ms. Jamal Fathima S Female Manonmaniam Sundaranar University Tirunelveli, Tamil Nadu Ph.D Manonmaniam Sundaranar University 2010  
30 7487 Ms. Preeti Luthra Female University of Delhi Delhi, Delhi PhD student University of Delhi 2011  
31 7537 Mr Anbu Arjunan Male CMI Chennai, Tamil Nadu PhD Pachaiyappa's College 2010  
32 7560 Mr Dhriti Ranjan Dolai Male The Institute of Mathematical Sciences Chennai phd I.I.T Madras 2009  
33 7583 Mrs. Priyanka Grover Female Indian Statistical Institute, Delhi Delhi, Delhi PhD University of Delhi 2008  
34 7587 Mr. Deepak Kumar Pradhan Male Indian Institute of Technology Kanpur Kanpur, Uttar Pradesh PhD University of Hyderabad 2012  
35 7603 Mr. Keshab Chandra Bakshi Male Institute of Mathematical Sciences Chennai, Tamil Nadu Senior Research Scholar TIFR(Cam) 2012  
36 7617 Mr. Surajit Biswas Male Institute of Mathematical Sciences Chennai, Tamil Nadu PhD Ramakrishna Mission Vivekananda University 2013  
37 7630 Mr. Lokesh Singh Male IIT Kanpur Kanpur, Uttar Pradesh Phd IIT BOMBAY 2013  
38 7632 Mr. Satyajit Guin Male Institute of Mathematical Sciences Chennai, Tamil Nadu PhD Indian Institute of Technology, Kanpur 2009  
39 7633 Mr Sohan Lal Saini Male IMSC Chennai Chennai, Tamil Nadu PhD IIT Delhi 2011  

 

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.