Symposium on Operators in Harmonic Analysis
SOHA-2025
November 10 - 14, 2025
Venue: SRM Univeristy-AP, Amaravati, India
Days
Hours
Minutes
Seconds
Description
The main goal of this symposium is to offer an in-depth exposition towards the rich and intriguing interplay of Operator Theory and Harmonic Analysis. Aimed at young researchers working in Functional Analysis, this workshop is meant to acquaint the audience with several intersections of these topics via foundational introductions, detailed insights into recent developments and an overview of the eminent scopes of research in the said intersections, through a series of lectures presented by distinguished pioneers in these fields of research. We hope this provides a platform to foster useful collaborations and ignite interest among young researchers with fresh perspectives towards these impactful intersections of research.
Organisers
Dr. Choiti Bandyopadhyay
Dr. Animesh Bhandari
Dr. Tapan Kumar Hota
Department of Mathematics, SRM University-AP
Sponsors
Apply Here before October 04, 2025
- Selected participants will be notified via email by October 06, 2025.
- Meals, Accommodation and Local Transport will be provided to all selected participants.
- Bus (AC ) & Train (3 - Tier) fare might be reimbursed subject to availability of funds.
Eligibility
PhD scholars, postdoctoral fellows and young researchers interested in Functional Analysis are encouraged to apply.
Schedule for SOHA - 2025
Prof. E K Narayanan, IISc Bangalore
Topic of lecture series:
Maximal Functions and Ergodic Theorems.
Abstract:
We will discuss the boundedness properties of the Hardy-Littlewood maximal function and the spherical maximal function on the Euclidean spaces. We will also explain some applications of these results in ergodic theory.
Prof. Jaydeb Sarkar, ISI Bangalore
Topic of lecture series:
Function Hilbert spaces - Theory and Applications
Prof. Sameer Chavan, IIT Kanpur
Topic of lecture series:
Shifts on Directed Graphs
Abstract:
In the first half of this lecture series, we discuss basics of graph theory and overview the theory of weighted shifts on directed graphs. In the second half, we discuss the role of weighted shifts on directed graphs in the wandering subspace problem. We conclude the lecture series with a brief discussion on some open problems.
Prof. Sivanathan Sampath, IIT Delhi.
Topic of lecture series:
Time-frequency analysis: The Short-time Fourier Transform and Related Operators
Prof. Rahul Garg, IISER Bhopal.
Topic of lecture series:
Harmonic Analysis on the Heisenberg group
Prof. E K Narayanan, IISc Bangalore
Topic of lecture series:
Maximal Functions and Ergodic Theorems.
Abstract:
We will discuss the boundedness properties of the Hardy-Littlewood maximal function and the spherical maximal function on the Euclidean spaces. We will also explain some applications of these results in ergodic theory.
Prof. Jaydeb Sarkar, ISI Bangalore
Topic of lecture series:
Function Hilbert spaces - Theory and Applications
Abstract:
We begin by introducing reproducing kernel Hilbert spaces and then consider the Hardy space as a concrete example. Special emphasis will be given to the shift operator acting on the Hardy space. We will discuss several classical concepts, such as the von Neumann inequality, Schur functions, the interpolation problem, and the invariant subspace problem, through the lens of dilation theory and reproducing kernel techniques. Broadly, the lectures will address Hilbert space operators and function theory while also highlighting occasional concepts from several-variable theory. Along the way, we will present a number of open problems.
Prof. Sameer Chavan, IIT Kanpur
Topic of lecture series:
Shifts on Directed Graphs
Abstract:
In the first half of this lecture series, we discuss basics of graph theory and overview the theory of weighted shifts on directed graphs. In the second half, we discuss the role of weighted shifts on directed graphs in the wandering subspace problem. We conclude the lecture series with a brief discussion on some open problems.
Prof. Sivananthan Sampath, IIT Delhi.
Topic of lecture series:
Time-frequency analysis: The Short-time Fourier Transform and Related Operators
Abstract:
We will discuss the short-time Fourier transform (STFT) and its fundamental properties. We will see that the Bargmann transform, defined on an extended complex plane, constitutes a special case of the STFT. Furthermore, we will extend the discussion to the Fourier-Wigner transform in operator spaces, elucidating its intrinsic connection to the STFT.
Prof. Rahul Garg, IISER Bhopal.
Topic of lecture series:
Harmonic Analysis on the Heisenberg group
Abstract:
In the first half of the lectures, we shall discuss the Stone-von Neumann theorem and introduce the notion of the Fourier transform on the Heisenberg group. Later on, we shall touch upon the spectral analysis on the Heisenberg group and survey some results for the spherical maximal operator.
Participants
Selected Participants have been notified via email on October 06, 2025. Waitlisted participants will be invited via email by October 11, 2025.
| S No. | Name | Designation | Affiliation |
|---|---|---|---|
| 1 | Harsha Gopalakrishnan | PhD scholar | IIT Tirupati |
| 2 | Divya Gupta | PhD scholar | LNMIIT Rajasthan |
| 3 | Preeti Kumari | PhD scholar | IIT Kanpur |
| 4 | Nitin Bartwal | PhD scholar | IIT Madras |
| 5 | Asik Doctor | PhD scholar | NISER Bhubaneswar |
| 6 | Shraban Das | PhD scholar | NIT Jamshedpur |
| 7 | Shubhankar Ghosh | PhD scholar | University of Calcutta |
| 8 | Sarthak Raj | PhD scholar | IIT Delhi |
| 9 | Meenakshi Sundaram N | PhD scholar | IISER Berhampur |
| 10 | Satyajyoti Achar | PhD scholar | NISER Bhubaneswar |
| 11 | Majethiya Priyanka Anil Kumar | PhD scholar | SVNIT Surat |
| 12 | Kruti Vayeda | PhD scholar | SVNIT Surat |
| 13 | Dr. Riya Ghosh | Postdoctoral Fellow | IIT Bombay |
| 14 | Priti Saha | PhD scholar | IIT Ropar |
| 15 | Avipsa Patra | PhD scholar | IIT Kharagpur |
| 16 | Archana M P | PhD scholar | IISc Bengaluru |
| 17 | Anusree Sreedharan | PhD scholar | Cochin University of Science and Technology |
| 18 | Sailendra Pradhan | PhD scholar | NIT Andhra Pradesh |
| 19 | Ankush Sonu Ghartan | PhD scholar | IIT Hyderabad |
| 20 | Aniruddha Deshmukh | PhD scholar | IIT Indore |
| 21 | Anurag K | PhD scholar | IIT Jammu |
| 22 | Vaishakh K J | PhD scholar | Cochin University of Science and Technology |
| 23 | Navneet | PhD scholar | IIT Indore |
| 24 | Krishna Kumar Lal | PhD scholar | IIT Ropar |
| 25 | Dr. Santu Bera | Postdoctoral Fellow | IIT Kanpur |
| 26 | Satyesh Prakash | PhD scholar | Banaras Hindu University |
| 27 | Rifat Siddique | PhD scholar | IISER Mohali |
| 28 | K N Sridharan Namboodiri | PhD scholar | IIT Delhi |
| 29 | Dr. Shubham R. Bais | Postdoctoral Fellow | IISc Bangalore |
| 30 | Sajin Vincent A.W. | PhD scholar | IIT Indore |
| 31 | Dipesh Kumar | PhD scholar | VIT-AP |
| 32 | Dr. Abhishek Sharma | Postdoctoral Fellow | SRM University-AP |
| 33 | Suparn Abhay Pathak | PhD scholar | SRM University-AP |
| 34 | Pashupati Nath Prasad | PhD scholar | SRM University-AP |
| 35 | Avinash Bhardwaj | PhD scholar | SRM University-AP |
| 36 | Amit Kumar Acharya | PhD scholar | SRM University-AP |
| 37 | Alit Elsa Xavier | PhD scholar | SRM University-AP |
| 38 | Gita Rani Mahato | PhD scholar | SRM University-AP |
| 39 | Sarga Varghese | PhD scholar | SRM University-AP |
| 40 | Athulya P | PhD scholar | SRM University-AP |
| 41 | Uma Maheswari S | PhD scholar | SRM University-AP |
Contact and Logistics
Accommodation: Details will be communicated to selected participants via email.
How to Reach Here: The SRM University–AP, Amaravati campus is located between the cities Vijayawada and Guntur. It can be reached from various parts of the country in several ways:
By Rail
Those coming from other states of India by train, should get down at the Vijayawada Railway Station (railway code: BZA), which is well-connected with almost all parts of the country. One can also use the Guntur Railway Station (code: GNT). From the stations, you may engage a taxi to reach SRM University-AP.Amaravati. The Vijayawada Junction and Guntur Junction, which are 23 and 31 km away, respectively.
By Air
The nearest airport is the Vijayawada International Airport (IATA: VGA) is about 40 km from campus. You may engage a taxi from the airport to reach SRM University-AP Amaravati.
By Road
NH16 is in close proximity. The nearest major bus stations are in Mangalagiri, Vijayawada, and Guntur.
Location
For any further enquiry, please contact the organisers:
Dr. Choiti Bandyopadhyay
Email: choiti.b@srmap.edu.in
Dr. Animesh Bhandari
Email: animesh.b@srmap.edu.in
