Workshop

371- Workshop on Modular Forms

Dates: 14 December 2020 to 19 December 2020

Venue: IIT Guwahati

Organizers

Prof. Anupam Saikia Prof. Rupam Barman


Lecture 1: Dec. 14, 2020

Lecture Title: P-adic families of forms.

Name of speaker with affiliation : Prof. Eknath Ghate, TIFR Mumbai.


Keywords: Classical modular forms, elliptic curves, p- stabilization.

Lecture 2: Dec. 15, 2020

Lecture Title: Λ-adic forms.

Name of speaker with affiliation : Prof. Eknath Ghate, TIFR Mumbai.


Keywords: Λ-adic Eisenstein series, Iwasawa conjecture.

Lecture 3: Dec. 17, 2020

Lecture Title: Hida Theory.

Name of speaker with affiliation : Prof. Eknath Ghate, TIFR Mumbai.


Keywords: Primitive Λ-adic forms, p-ordinary.

Lecture 4: Dec. 19, 2020

Lecture Title: Λ-adic Galois representations.

Name of speaker with affiliation : Prof. Eknath Ghate, TIFR Mumbai.


Keywords: Pseudo representations, Galois representations.

Lecture 1: Dec. 14, 2020

Lecture Title: Building blocks of Half integral Modular forms.

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Half integral Modular forms, Half integral weight Eisenstein series.

Lecture 2: Dec. 14, 2020

Lecture Title: On Hecke- operators and Shimura correspondence.

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Hecke- operators, Shimura map.

Lecture 3: Dec. 16, 2020

Lecture Title: On Cohen Eisenstein series.

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Kohnen plus space, modified Shimura map

Lecture 4: Dec. 17, 2020

Lecture Title: On Shimura lift and New forms Theory.

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Shimura lift, new forms theory, W-operators.

Lecture 5: Dec. 18, 2020

Lecture Title: On Shintani correspondence

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Trace of hecke operators, Shintani correspondence.

Lecture 6: Dec. 18, 2020

Lecture Title: On Shintani correspondence continued.

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Kloosterman sum, Jacobi forms, Waldspurger's theorem

Lecture 7: Dec. 19, 2020

Lecture Title: On Shimura- Cohen’s map

Name of speaker with affiliation : Prof. B. Ramakrishnan, Central University of Tamilnadu (on lien from HRI, Prayagraj).


Keywords: Characterization of W(4) operator, application.

Lecture 1: Dec. 14, 2020

Lecture Title: Hilbert Modular forms lecture 1

Name of speaker with affiliation : Dr. Aribam Chandrakant Sharma, IISER Mohali.


Keywords: Discrete subgroups, cusps.

Lecture 2: Dec. 17, 2020

Lecture Title: Hilbert Modular forms lecture 2

Name of speaker with affiliation : Dr. Aribam Chandrakant Sharma, IISER Mohali.


Keywords: Hilbert modular groups, embedding.

Lecture 3: Dec. 18, 2020

Lecture Title: Hilbert Modular forms lecture 3

Name of speaker with affiliation : Dr. Aribam Chandrakant Sharma, IISER Mohali.


Keywords: Automorphic factor, regular points, Eisenstein series.

Lecture 4: Dec. 19 2020

Lecture Title: Hilbert Modular forms lecture 4

Name of speaker with affiliation : Dr. Aribam Chandrakant Sharma, IISER Mohali.


Keywords: Automorphic forms, Hilbert Poincare series, Hecke action.

Lecture 1: Dec. 15 2020

Lecture Title: Lehmer’s Conjec- ture and its Generalisations

Name of speaker with affiliation : Dr. Professor Ken Ono, University of Virginia.

Keywords: Lehmer’s Conjec- ture and its Generalisations

Lecture 2: Dec. 17 2020

Lecture Title: Gauss’ Class Number Problem

Name of speaker with affiliation : Dr. Professor Ken Ono, University of Virginia.


Keywords: Quadratic forms, CM points, ideal class groups.