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# 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

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

conjecture.