IPM Calendar 
Tuesday 16 April 2024   Today  
Events for day: Tuesday 25 May 2021    
           14:00 - 15:00     Weekly Seminar
HEPCo Group
Gravitational breathing memory and dual symmetries

School
PHYSICS

Abstract:

After a short review on gravitational waves, I will discuss gravitational memory effects in GR and its relationship to asymptotic symmetries. Then, I will study Brans-Dicke theory where a novel memory effect shows up, known as the breathing memory . This memory has no obvious symmetry interpretation. I will show that such a symmetry interpretation in hidden in the formulation of the dialton field in terms of a dual two-form field.




Date: Tuesday, May 25th

2 p.m. - 3 p.m. (Tehran time)


           17:30 - 19:30     Number Theory Webinar
Solving Fermat Type Equations Via Modular Approach

School
MATHEMATICS

Recent work of Freitas and Siksek showed that an asymptotic version of Fermat's Last Theorem (FLT) holds for many totally real fields. This result was extended by Deconinck to the generalized Fermat equation of the form Ax^p + By^p + Cz^p = 0, where A, B, C are odd integers belonging to a totally real field. Later Sengun and Siksek showed that the asymptotic FLT holds over number fields assuming standard modularity conjectures. Combining their techniques we* show that the generalized Fermat's Last Theorem (GFLT) holds over number fields asymptotically assuming the standard conjectures. We also give three results which show the existence of fa ...