代数セミナー (11月25日)

日時: 11月25日(14:00ー15:30)
場所: 自然系学系棟 D814

講演者 Chris Marks  (University of Alberta)

Title: The bounded denominator conjecture for vector-valued modular forms.

Abstract: In the first part of this talk, we will give a basic introduction
to the theory of modular forms, both scalar and vector-valued, which should
be sufficient background to understand what follows. In the second part of
the talk, we will discuss a conjecture regarding the Fourier coefficients
of vector-valued modular forms for noncongruence subgroups of the modular
group, including a brief discussion of how this conjecture connects to
rational conformal field theory in mathematical physics. We will conclude
the talk by explaining some results we have obtained in support of this