NTS Spring 2014/Abstracts
|Majid Hadian-Jazi (UIC)|
|Title: On a motivic method in Diophantine geometry|
Abstract: By studying the variation of motivic path torsors associated to a variety, we show how certain nondensity assertions in Diophantine geometry can be translated to problems concerning K-groups. Then we use some vanishing theorems to obtain concrete results.
|John Voight (Dartmouth)|
|Title: Numerical calculation of three-point branched covers of the projective line|
Abstract: We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups. This is joint work with Michael Klug, Michael Musty, and Sam Schiavone.
|Jennifer Park (MIT)|
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