Difference between revisions of "NTS Spring 2014/Abstracts"

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(January 23)
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== January 23 ==
  
 
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''John Voight''' (Dartmouth)
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Majid Hadian-Jazi''' (UIC)
 
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| bgcolor="#BCD2EE"  align="center" | Title: Numerical calculation of three-point branched covers of the projective line
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| bgcolor="#BCD2EE"  align="center" | Title: On a motivic method in Diophantine geometry
 
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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.
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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.
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== February 20 ==
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Alexander Fish''' (University of Sydney, Australia)
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| bgcolor="#BCD2EE"  align="center" | Title: Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups
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Abstract: By use of recent ideas of Petridis, we extend Plunnecke inequalities for sumsets of finite sets in abelian groups to the setting of measure-preserving systems. The main difference in the new setting is that instead of a finite set of translates we have an analogous inequality for a countable set of translates. As an application, by use of Furstenberg correspondence principle, we obtain new Plunnecke type inequalities for lower and upper Banach density in countable abelian groups. Joint work with Michael Bjorklund, Chalmers.  
 
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Revision as of 14:51, 20 January 2014

January 23

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.


January 23

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.


February 20

Alexander Fish (University of Sydney, Australia)
Title: Ergodic Plunnecke inequalities with applications to sumsets of infinite sets in countable abelian groups

Abstract: By use of recent ideas of Petridis, we extend Plunnecke inequalities for sumsets of finite sets in abelian groups to the setting of measure-preserving systems. The main difference in the new setting is that instead of a finite set of translates we have an analogous inequality for a countable set of translates. As an application, by use of Furstenberg correspondence principle, we obtain new Plunnecke type inequalities for lower and upper Banach density in countable abelian groups. Joint work with Michael Bjorklund, Chalmers.


February 27

Jennifer Park (MIT)
Title: what?

Abstract: ...



Organizer contact information

Robert Harron

Sean Rostami


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