ATMW Recent advances in Operator Theory and Operator Algebras (2012)

Venue: Indian Statistical institute, Banglore
Dates: 31st Dec, 2012 - 11th jan, 2013


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


School Convener(s)


B. V. Rajarama Bhat

Tirthankar Bhattacharyya

Jaydeb Sarkar

Mailing Address

Indian Statistical Institute,
8th Mile Mysore Road,
RV College Post,

Indian Statistical Institute,
8th Mile Mysore Road,
RV College Post,
Indian Statistical Institute,
8th Mile Mysore Road,
RV College Post,


Speakers and Syllabus 

The plan is to have a one week workshop followed by a week of conference, broadly in the area of operator theory and operator algebras with a special emphasis on quantum theory.  The workshop will consist of courses on three   topics.  This is aimed at students as well as researchers in  the area who are keen to learn these fields.

Main Speakers in Workshop and description of their courses
(A) Uwe Franz,  University of Franche­Comte,   Besançon:, France

Title: Independence and Levy processes in quantum probability (6 lectures)
Abstract : Quantum probability describes the probabilistic foundations of quantum physics. Many concepts from classical probability have their counterpart in quantum probability. In these lectures we will study the notions of independence and independent increment processes. One surprising feature of quantum probability is the existence of several different notions of (stochastic) independence, as, e.g., tensor independence (which generalizes the notion of stochastic independence in classical probability), freeness, Boolean independence, or monotone independence. These lectures will give an introduction to the most common notions of independence and their basic theory, including the description of their convolutions and infinitely divisible measures. Then we will study the axiomatic approach due to Speicher, Ben Ghorbal, Schurmann, and Muraki, and the classification of the five universal notions of independence. Finally, we will study the relations between these notions and the
theory of independent  increment processes.

(B)  Adam Skalski: Institute of Mathematics,  Polish Academy of Sciences , Warszawa.
Title: Quantum Processes (6 lectures ): 
Abstract:  This   will   be     on   applications   of   the   fundamental   concepts   of   the   classical  theory   of   dynamical   systems   to   the   study   of  endomorphisms of operator algebras.   Classical theory of continuous or measurable dynamics can be in a natural way extended to so­called noncommutative dynamical systems, i.e. endomorphisms of respectively C*­algebras or von Neumann algebras.  In these series of lectures we present how the fundamental concepts such as the topological entropy or ergodic­theoretical notions extend to the noncommutative framework.

(C )  Brett D. Wick, School of Mathematics, Georgia Institute of Technology, Atlanta,
Title: The Corona Problem  (6 lectures)
Abstract:  The space H∞ (D)  is the collection of bounded analytic functions on the unit disk D and has been well­studied from the viewpoint of complex and harmonic analysis and the interaction with operator theory. Under sup­norm it is a complex Banach algebra.  With this Banach algebra, it is possible to ask questions that are a blend of analysis and algebra. One such important question is the Corona Problem.   This  problem can be phrased purely as a function theoretic question.   Using functional analysis, it is possible to change this problem into an  algebraic question about the maximal ideals of H ∞ (D)   and a topological question about the density of the unit disk D in the maximal ideal  space of H∞ (D).

The famous Carleson Corona Theorem,  answered this question affirmatively.  The tools and techniques Carleson implemented have become an integral part of analysis and have served as an impetus for much research in function theory, complex analysis, harmonic analysis, and operator  theory for the past 50 years. The course presented by Wick will focus on certain aspects of the Corona problem for multiplier algebras of Besov­­Sobolev spaces.  The ultimate goal of the course will be to discuss the background and ideas in the proof of the Corona theorem for more general algebras.
Numerous exercises   will be provided during the course so that the interested student can learn the basics of the topics covered.   These  exercises will be designed so that an interested student can go from a limited background in the area to a relatively deep understanding of the material.  Additionally, open problems and future directions of research will be pointed out and highlighted during the course.
Remarks:  Currently all the three  main speakers  have confirmed  their participation and have given details of the courses  they will give  (attached). Six guest speakers in the Workshop could be among, Michael Skeide, Gadadhar Misra, K. B. Sinha, J. Martin Lindsay, K. R.  Parthasarathy, R. Bhatia, V. S. Sunder,  or from  other conference participants. Please note that we have not contacted guest speakers so far.  Every day there will be tutorials anchored by organizers covering all the talks of the day. Main speakers are required to be present here to clear  doubts of participants. The tutorial sessions may go beyond the scheduled time of  5.30 p.m.

Workshop schedule
Dec. 31, 2012­Jan. 5, 2013

Time/Day Mon Tue Wed Thu Fri Sat
10.00-11.00 A1 A2 A3 A4 A5 A6
11.00-11.30 Tea
11.00-11.30 B1 B2 B3 B4 B5 B6
12.30-1.30 G1 G2 G3 G4 G5 G6
1.30-2.30 Lunch
2.30-3.30 C1 C2 C3 C4 C5 C6
3.30-4.30 Tea
4.00-5.30 T1 T2 T3 T4 T5 T6

Abbreviations: A: Uwe Franz B: Adam Skalski C: Brett Wick G: Guest lectures T: Daily Tutorials

The Conference ( Jan.7­11, 2013)  will be on a wider variety of topics  in operator theory, operator algebras and quantum probability. will be  survey lectures covering some recent developments and also presentations of research papers. The conference schedule will be web in due course.


Sr. Name Affiliation
1 Uwe Franz Universite de Franche-Comte, France
2 Debashish Goswami ISI, Kolkata
3 Anil Karn NISER, Bhubaneswar
4 H. Kwon Seoul National University, Korea
5 J. Martin Lindsay Lancaster University, United Kingdom
6 Issam Louhichi KFUPM, Saudi Arabia
7 Daniel Markiewicz Ben-Gurion University of the Negev, Israel
8 Marco Merkli Memorial Univ. of Newfoundland, Canada
9 Gadadhar Misra IISc, Bangalore, India
10 Anders Olofsson Lund University, Sweden
11 Hiroyuki Osaka Ritsumeikan University, Japan
12 Denes Petz Budapest University of Technology and Economics, Hungary
13 TSSRK Rao ISI, Bangalore
14 Alfonso Montes Rodriguez University of Seville, Spain
15 Orr Shalit Ben-Gurion University of the Negev, Israel
16 K B Sinha JNCASR, Bangalore
17 Adam Skalski Polish Academy of Sciences, Poland
18 Michael Skeide Universita degli Studi del Molise, Italy
19 Baruch Solel Technion, Israel
20 R Srinivasan, CMI Chennai
21 V. S. Sunder IMSc, India
22 F. H. Szafraniec Inst.of Mathematics, Krakow, Poland
23 Dan Timotin Institute of Mathematics of the Romanian Academy, Romania
24 Brett Wick Georgia Tech. USA


Selected Applicants


Sr. Name Affiliation
1 A. Anbu IIT Bombay, India
2 Stephan Barreto Padre Conceicao College of Eng., Goa
3 Deepika Baweja IIT Kanpur
4 B. V. Rajarama Bhat ISI Bangalore, India
5 Neha Bhatia Univ. of Delhi, Delhi
6 T. Bhattacharyya IISc, India
7 Mithun Bhowmik ISI, Kolkata
8 Sayan Chakraborty CMI, India
9 Sameer Chavan IIT Kanpur, India
10 Prakash Arvindbhai Dabhi Sardar Patel Univ. Vallabh Vidyanagar
11 Bata Krishna Das ISI Bangalore
12 Santanu Dey IIT Mumbai, India
13 Jadav Ganesh IIT, Hyderabad
14 Ramu Geddavalasa NIT, Surathkal, Mangalore, Karnataka
15 Michal Gnacik Univ. of Lancaster, UK
16 Rupinderjit Kaur Grewal S.L.I.E.T Longowal, India
17 P K Harikrishnan Manipal Inst. of Technology, Manipal
18 Sam Johnson NIT, Surathkal, Mangalore, Karnataka
19 Rajesh Kannan IIT Chennai
20 Divya Khurana IIT Kanpur
21 An-Hyun Kim Korea
22 Arundhati Krishnan IIT Chennai
23 Krishna Kumar ISI Bangalore
24 Romesh Kumar University of Jammu, India
25 Sanjay Kumar University of Jammu, India
26 Vijaya Kumar Ramanujan Inst. of Adv. Study, Chennai
27 Amit Maji IIT Kharagpur, India
28 Nirupama Mallick ISI, Bangalore
29 Jagjit Singh Matharu Guru Nanak Dev Univ. Amritsar
30 Suhail Gulzar Mattoo Kashmir University
31 Marco Merkli Memorial Univ. Newfoundland, Canada
32 Mithun Mukherjee Ben Gurion Univ. of the Negev, Israel
33 Rakshit Narayan ISI, Kolkata
34 Santhosh Kumar Pamula IIT Hyderabad
35 Bijaya Lakshmi Panigrahi Inst. of Math. Appl., Bhubaneswar
36 V. Lokesha Acharya Inst. of Tech. Bangalore
37 Avijith Pal IISc, Bangalore
38 Sourav Pal ISI, Bangalore
39 Issan Patri IMSc, India
40 Deepak Kumar Porwal Delhi University, Delhi
41 Mizanur Rahaman IISc Bangalore
42 Ramesh. G IIT, Hyderabad, India
43 C. Ratanaprasert Thailand
44 Madhav Reddy ISI, Kolkata
45 Takashi Sano Yamagata Univ., Japan
46 Subrata Shaym Roy, IISER, Kolkata
47 Bipul Sarma MC College, Barpeta, Assam
48 J. Sarkar ISI Bangalore/Kolkata, India
49 Mushtaq Ahmad Shah Kashmir University
50 Pooja Sharma Univ. of Delhi, Delhi
51 Mandeep Singh S.L.I.E.T Longowal, India
52 Preetinder Singh IISER, Mohali
53 Vishal Kumar Singh IIM Dhanbad, India
54 K. Sumesh ISI, Bangalore
55 Harsh Chandrakant Trivedi IIT Bombay, India



How to reach



  • By Air
    • Bangalore International Airport is approximately one hnd 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.