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DDC: Diophantine Problems (Fall 2020)

Decidability, Definability, and Computability in Number Theory

Diophantine Problems

Mondays at 9:00am Pacific Time
Organizers: Hector Pasten and Natalia Garcia-Fritz

This seminar will focus on Diophantine problems in a broad sense, with a view towards (but not limited to) interactions between Number Theory and Logic. Particular attention will be given to topics with the potential of further developments in the context of this MSRI scientific program. This will provide an opportunity for researchers to update on new results, techniques and some of the main problems of the field.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206.

*Please note: For talks labeled "TBD" (To Be Determined), final speaker/topic information will be updated throughout the DDC program as it becomes available.

Variations on Chabauty

Speaker: Jennifer Balakrishnan (Boston University)
August 24, 2020
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Some applications of the algebraicity criteria

Speaker: Yunqing Tang (Université Paris-Sud)
August 31, 2020
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Goldfeld's conjecture and congruences between Heegner points

Speaker: Chao Li (Columbia University)
September 14, 2020
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Uniformity for the Number of Rational Points on a Curve

Speaker: Philipp Habegger (University of Basel)
September 21, 2020
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$2^k$-Selmer groups, the Cassels-Tate pairing, and Goldfeld's conjecture

Speaker: Alexander Smith
September 28, 2020
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On the Pila-Wilkie Theorem

Speaker: Neer Bhardwaj
October 5, 2020
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Diophantine problems over large fields

Speaker: Arno Fehm
October 19, 2020
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The Existential Closedness Problem for the Modular j-function

Speaker: Sebastian Eterovic
October 26, 2020
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Nonexistence of exceptional units via Skolem-Chabauty's method

Speaker: Nicholas Triantafillou
November 02, 2020
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The critical height of an endomorphism of projective space

Speaker: Patrick Ingram
November 09, 2020
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Counting rational points on and close to algebraic varieties

Speaker: Damaris Schindler
November 16, 2020
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Generalizations of CCT (II)

Speaker: Florian Pop
November 23, 2020
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On Hilbert's tenth problem in two variables

Speaker: Levent Alpoge
November 30, 2020
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Torsion values of sections, elliptical billiards and diophantine problems in dynamics

Speaker: Umberto Zannier
December 07, 2020
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Applications of points on subvarieties of tori

Speaker: Peter Sarnak
December 14, 2020
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