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1st FGC-IPM Joint Number Theory Meeting

 

(15.03.2021 - 17.03.2021)

Information

We are happy to announce the first joint event organized by FGC-Istanbul and IPM-Tehran. We hope that this will be the beginning of a fruitful collaboration between the two science communities, and are planning to expand this to
other areas of Mathematics and Physics in the near future.

Supporting Institutions

  • Feza Gürsey Center of Physics and Mathematics-İstanbul (FGC)
  • Institute for Research in Fundamental Sciences-Tehran (IPM)

Organizing Comittee

  • N. Sadık Değer, Boğaziçi University (Director of FGC)
  • M. Hadi Hedayatzadeh (IPM)
  • K. İlhan İkeda (FGC)

Place

Zoom (https://boun-edu-tr.zoom.us/j/95829822778)

Program

Please see the pdf version here

15 March, 2021 (local time UTC/GMT+3)

Morning session:

09:20—09:30 Nihat Sadık DEĞER: Opening remarks.

09:30—10:30 Mohammad Hadi HEDAYATZADEH: The generic fibre of the exterior power morphism on the Lubin-Tate tower. 

10:30—10:45 Discussion and virtual coffee/tea break.

10:45—11:45 Ekin ÖZMAN: Modular curves, rational points, Diophantine equations.

11:45—12:00 Discussion and virtual coffee/tea break.

Afternoon session: 

13:00—14:00 Simon HÄBERLI: Satake compactification of analytic Drinfeld modular varieties. 

14:00—14:15 Discussion and virtual coffee/tea break.

14:15—15:15 Yasemin KARA: Solving Fermat type equations via modular approach.

15:15—15:30 Discussion and virtual coffee/tea break.

15:30—16:30 Ali MOHAMMADI: Points on polynomial curves in small boxes modulo an integer.

16:30—16:45 Discussion and virtual coffee/tea break.

16 March, 2021 (local time UTC/GMT+3)

Morning session:

09:30—10:30 Alp BASSA: Rational points on curves over finite fields and their asymptotic.

10:30—10:45 Discussion and virtual coffee/tea break.

10:45—11:45 Esmail ARASTEH RAD: Zeta-function for the moduli of G-shtukas.

11:45—12:00 Discussion and virtual coffee/tea break.

Afternoon session: 

13:00—14:00 Ali RAJAEI: Some “small” class number problems.

14:00—14:15 Discussion and virtual coffee/tea break.

14:15—15:15 Kâzım İlhan İKEDA: On the reciprocity and functoriality principles of Langlands.

15:15—15:30 Discussion and virtual coffee/tea break.

15:30—16:30 Mahdi ASGARI: Combinatorics of the Arthur Trace Formula.

16:30—16:45 Discussion and virtual coffee/tea break.

17 March, 2021 (local time UTC/GMT+3) 

Morning session: 

10:00—11:00 Susumu TANABÉ: Monodromy of GKZ Hypergeometric functions and homological mirror symmetry.

11:00—11:15 Discussion and virtual coffee/tea break.

11:15—12:15 Farzad ARYAN: Higher moments of distribution of zeta zeros.

12:15—12:30 Discussion and virtual coffee/tea break.

Afternoon session: 

13:30—14:30 Deniz Ali KAPTAN: Small gaps in primes: from GPY to Maynard-Tao.

14:30—14:45 Discussion and virtual coffee/tea break.

14:45—15:00 Closing remarks.

[End of the meeting]

Abstracts of the Talks

Details are here

Slides from the Meeting

Poster

Please see here

Registration and Practical Information

The meeting is open for everyone and there is no registration fee.

Practical information (Please see the pdf version here)

The whole meeting will take place on Zoom.

On 15 March 2021 (Monday) and 16 March 2021 (Tuesday), all lectures will be given between 09:30 and 16:30, İstanbul time (UTC/GMT+3).

On 17 March 2021 (Wednesday),  all lectures will be given between 10:00 and 14:30, İstanbul time (UTC/GMT+3).

We ask all participants to respect the following code of conduct:

1. To the extent possible, save your questions for the end of the talk. Only if you feel it is essential to clarify a point during the talk, raise your hand and wait for permission from the Chair.

2. The Chair for the session will provide permission to ask questions (again, preferably, at the end of the talk) by noting that a participant has raised its hand.

3. There will be unmoderated open chat sessions and your good and respectful behavior is expected.

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