Date | Speakers | Title |
---|---|---|

Sept 7, 2017 | Dr. Arijit Dey
(IIT Madras) |
Moduli space of torsion free sheaves over reducible nodal curves |

July 25, 2017 | Dr. Niraj Khare
(Carnegie Mellon University, Qatar) |
Patterns in Combinatorial structures, parking functions and Fun |

April 19, 2017 | Prof. Akhil Ranjan
(IIT Mumbai) |
Simultaneous Bilinear Equations and Metric Foliations of Spheres |

March 31, 2017 | Dr. Tulsi Srinivasan
(Ashoka University, Haryana) |
The Lusternik-Schnirelmann category of general spaces |

Feb 16, 2017 | Prof. Yves Martin
(Universidad de Chile, Santiago, Chile) |
Quasimodular forms and Dirichlet series |

Feb 14, 2017 | Prof. Yves Martin
(Universidad de Chile, Santiago, Chile) |
Fourier coefficients of Siegel modular forms |

Feb 9, 2017 | Prof. Yves Martin C
(Universidad de Chile, Santiago, Chile) |
Introduction to quasimodular forms |

Feb 9, 2017 | Prof. Balwant Singh
(CBS Mumbai) |
Dimension of an Algebraic Variety |

Jan 25, 2017 | Prof. Shobha Madan
(IISER Mohali) |
On Rationality of Spectrum |

Jan 24, 2017 | Prof. Dipendra Prasad
(TIFR Mumbai) |
A relative Langlands program |

Jan 5, 2017 | Dr. Dheeraj D. Kulkarni
(ISI Kolkata) |
Relative Symplectic Caps, 4-Genus and Fibered Knots |

Dec 27, 2016 | Dr. Ratikanta Behera
(IISER Kolkata) |
Adaptive wavelet-based methods for solution of PDEs and signal analysis |

Dec 9, 2016 | Dr. Atreyee Bhattacharya
(RKMVU, Belur) |
An ODE associated to the Ricci flow |

Dec 8, 2016 | Dr. Samrith Ram
(HRI Allahabad) |
Splitting Subspaces of Linear Transformations over Finite Fields |

Dec 7, 2016 | Dr. Amit Samanta
(TIFR-CAM Bangalore) |
Wiener Tauberian Theorem for rank one semisimple Lie groups |

Dec 5, 2016 | Dr. Srilakshmi Krishnamoorthy
(IIT Chennai) |
On The Fourier Coefficients of A Cohen-Eisenstein Series |

Nov 18, 2016 | Prof. A. J. Parameswaran
(TIFR, Mumbai) |
Complete reducibility in characteristic p >0 |

Nov 16, 2016 | Prof. A. J. Parameswaran
(TIFR, Mumbai) |
Noether Normalization and Bertini Theorem: A geometric Approach |

Nov 16, 2016 | Prof. A. J. Parameswaran
(TIFR, Mumbai) |
Noether Normalization and Bertini Theorem: A geometric Approach |

Nov 7, 2016 | Dr. Vikas Vikram Singh
(Universite Paris Sud XI, France) |
Existence and Characterization of Nash Equilibrium for Chance-Constrained Games |

Date | Speakers | Title |
---|---|---|

April 8, 2017 | Aneesh Ramdas Palsule | Mathematics of Public Key Cryptography |

April 7, 2017 | Shubham Namdeo | Introduction to expander families of graphs |

April 6, 2017 | Shubham Namdeo | The Peter-Weyl Theorem |

April 6, 2017 | Palkar Grishma Gurudas | Representation of The Fundamental Group of Compact Riemann Surface And Vector Bundles |

April 5, 2017 | Merin Abraham | Julia sets of singularly perturbed polynomials |

April 5, 2017 | Haritha, C | Open Dynamical Systems |

Mar 28, 2017 | Mihir Kshire | Theorem of The Highest Weight |

Nov 17, 2016 | Aneesh Ramdas Palsule | Mathematics of Public Key Cryptography |

Nov 16, 2016 | Brahadeesh Sankarnarayanan | Non-Archimedean Absolute Values on Q and the set of Adeles |

Nov 16, 2016 | Haritha, C. | Birkhoff’s Ergodic Theorem |

Nov 16, 2016 | Merin Abraham | Dynamics of Rational Functions |

Nov 15, 2016 | Ashwin K | Introduction to algebraic graph theory and Cayley graphs |

Nov 9, 2016 | Mihir Kshire | Representations of Lie Groups and Lie Algebras |

Nov 9, 2016 | Shubham Namdeo | Peter-Weyl Theorem for Finite Groups |

April 16, 2016 | Mohammed Hashir P | Krull Dimension of U (sl(2, k)) |

April 15, 2016 | Neethu S. R. | Gelfand Kirillov dimension of simple modules |

April 15, 2016 | Sanjana Agarwal | Local Class Field Theory |

Dec 7, 2016 | Dr. Amit Samanta | Wiener Tauberian Theorem for rank one semisimple Lie groups |

The Department organizes various activities including seminars, schools, workshops, and conferences, from time-to-time, to promote research interactions between the Institute and other researchers in the country as well as abroad. Some of the activities organized by the Department are:

Differential Equations is a basic topic of research and teaching in mathematics. The abstract theory behind this topic is also most important from the point of view of applications in a large number of areas of mathematics itself and, of course, in science and engineering. A few examples are geometry (including differential geometry), economics, hydrodynamics, elasticity, general relativity, geometric flows, biology etc. There are a few excellent research groups in India, especially in partial differential equations (PDE), but these are located in a very small number of central institutes and the manpower available for teaching this topic in universities, and colleges are too small. The purpose of this course was to provide an excellent opportunity to young teachers and researchers from various educational institutions of the country to interact and learn important topics on PDEs and its applications from some of the experts of this subject.

**Resource persons : **

- K. R. Arun, IISER Trivandrum
- S. Baskar, IIT Bombay
- P. S. Datti, (retired), TIFR Center for Applicable Mathematics, Bengaluru
- S. Sivaji Ganesh, IIT Bombay
- Harish Kumar, IIT Delhi
- Anandateertha Mangasuli, IISER Bhopal
- Phoolan Prasad, (retired), Indian institute of Science, Bengaluru
- Saurabh Shrivastava, IISER Bhopal

A lecture series on modular forms was delivered by Prof. M. Ram Murty as part of the GIAN programme. As a follow up of this lecture series, we organized a one day conference on modular forms on September 04, 2016. The purpose of this conference was to bring together active researchers in the area of modular forms for interaction and collaboration and to motivate young students and postdoctoral fellows towards the ongoing research in the area.

- M. Ram Murty, Queen's University
- M. Manickam, Kerala School of Mathematics
- B. Ramakrishnan, Harish-Chandra Research Institute
- Purusottam Rath, Chennai Mathematical Institute
- Sanoli Gun, The Institute of Mathematical Sciences

- Abhas Kumar Jha, NISER Bhubaneswar
- Gunja Sachdeva, IISER Pune
- Sudhir Pujahari, HRI Allahabad

Under MHRD's Global Initiative of Academic Networks (GIAN) funding scheme, the department organized a short course on modular forms during August 24- September 4, 2016. The goal of this course was to introduce the student, in a span of two weeks, to the rudimentary theory of modular forms. Lectures were given by Prof. Ram Murty, Department of Mathematics and Statistics, Queen's University, Canada. The course was attended by students from IISER Bhopal as well as several other institutions in India and it provided an opportunity for students as well as faculty members to interact with Prof. Murty, who is an expert in the area of modular forms.

This conference had two primary goals: bringing together active researchers in these are as in order to create an atmosphere conducive for interaction and collaboration, and motivating young researchers towards pursuing research in these areas. The conference was partially supported by SERB (DST).

S. G. Dani (IIT Bombay), Parameswaran Sankaran (IMSc Chennai), C. S. Aravinda (TIFR CAM Bangalore), Mahan Mj (TIFR Mumbai), Siddhartha Gadgil (IISc Bangalore), Riddhi Shah (JNU Delhi), Tarun Das (University of Delhi) were the plenary speakers.

The school was targeted at final year Masters students and aimed to provide exposure to topics which are different, yet related to those taught at the Masters level. The topics covered during the school were:

- Finite Groups of Möbius Transformations (Instructors: Kashyap Rajeevsarathy and Siddhartha Sarkar)
- Galois Theory of Cyclotomic Extensions (Instructors: Prahlad Vaidyanathan and Romie Banerjee)
- Canonical Forms of Linear Operators and Differential Equations (Instructors: Anand Mangasuli and Nikita Agarwal)

The goal of the conference was to invite eminent mathematicians in both areas and provide a platform for interaction and collaboration. The conference was funded by National Board of Higher Mathematics (NBHM). The organizing committee included Prahlad Vaidyanathan, Saurabh Shrivastava, and Nikita Agarwal.

Shobha Madan (IIT Kanpur), Gadadhar Misra (IISc Bangalore), V S Sunder (IMSc, Chennai), S Thangavelu (IISc Bangalore) were the invited speakers. Many researchers and Ph.D. students from other research institutions also attended the program.

The aim of the conference was to bring renowned mathematicians working in the areas related to Representation Theory. The organizing committee included Siddhartha Sarkar, Krishna Kaipa, Kumar Balasubramanian, and Ashish Gupta.

Dipendra Prasad (TIFR, Mumbai), C.S. Dalawat (HRI Allahabad), Amritanshu Prasad (IMSc Chennai), A. Raghuram (IISER Pune), Sandeep Varma (TIFR Mumbai) were the invited speakers. Senior Ph.D. students from other research institutions also attended the program. There were invited talks and also talks by the faculty members at IISER Bhopal working in related areas.

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