Emory University

Thu 30 Oct 2014, 3:30pm
Number Theory Seminar
room MATH 126

Hasse principles over function fields of padic curves

room MATH 126
Thu 30 Oct 2014, 3:30pm4:30pm
Abstract
Obstructions to the Hasse principle for the existence of rational points on principal homogeneous spaces under connected linear algebraic groups over a number field are well understood. Similar questions of Hasse principle have been studied over more general fields, particularly, function fields of curves over complete discrete valued fields. There are several positive results in this direction for connected linear algebraic groups which are rational, thanks to the patching techniques developed by HarbaterHartmannKrashen. We shall explain some recent progress and open questions concerning Hasse principle for function fields of padic curves.
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UBC

Thu 6 Nov 2014, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 6 Nov 2014, 3:30pm4:30pm
Abstract
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Morningside Center of Mathematics and Purdue

Thu 13 Nov 2014, 3:30pm
Number Theory Seminar
room MATH 126

Introduction to Mochizuki's works on interuniversal Teichmuller theory

room MATH 126
Thu 13 Nov 2014, 3:30pm4:30pm
Abstract
Interuniversal Teichmuller theory, as developed by Mochizuki in the past decade, is an analogue for number fields of the classical Teichmuller theory, and also of the padic Teichmuller theory of Mochizuki. In this theory, the ring structure of a number field is subject to nonring theoretic deformation. Absolute anabelian geometry, a refinement of anabelian geometry, plays a crucial role in interuniversal Teichmuller theory. In this talk, we will try to give an introduction to these ideas.
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Thu 20 Nov 2014, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 20 Nov 2014, 3:30pm4:30pm
Abstract
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Oxford University

Thu 27 Nov 2014, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 27 Nov 2014, 3:30pm4:30pm
Abstract
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UCLA

Thu 5 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 5 Mar 2015, 3:30pm4:30pm
Abstract
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