| Thursday 2 May 2024 | |
| Events for day: Tuesday 22 June 2021 |
| 14:00 - 15:00 Weekly Seminar HEPCo Group Axi-Higgs Cosmology School PHYSICS Abstract: If the electroweak Higgs vacuum expectation value $v$ in early universe is $sim 1 %$ higher than its present value $v_0=246$ GeV, the $^7$Li puzzle in BBN and the CMB/$Lambda$CDM tension with late-universe measurements on Hubble parameter are mitigated. We propose a model of an axion coupled to the Higgs field, named ``axi-Higgs'', with its mass $m_a sim 10^{-30} - 10^{-29},{rm eV}$ and decay constant $f_a sim 10^{17} - 10^{18},{rm GeV}$, to achieve this goal. The axion initial value $a_{rm ini}$ yields an initial $Delta v_{rm ini}/v_0 sim 0.01$ throughout the BBN-recombination epoch and a percent level contribu ... 17:30 - 19:30 Number Theory Webinar Effective Height Bounds for Odd-degree Totally Real Points on Some Curves School MATHEMATICS We use potential modularity theorems to prove, for a class of smooth projective hyperbolic curves, effective height bounds for all rational points on such curves which are defined over an odd-degree totally real field. (Over such fields and for such curves this amounts to an unconditional effectivization of Faltings' theorem.) We do this by proving effective height bounds for S-integral K-points on Hilbert modular varieties when K is totally real of odd degree (a familiar hypothesis from the theory of Hilbert modular forms), and then deducing a height bound for rational points on complete curves inside such varieties. The curves C_t : x^6 + 4 ... |