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
More Information
Some applications of the algebraicity criteria
Speaker: Yunqing Tang (Université Paris-Sud)
August 31, 2020
More Information
Goldfeld's conjecture and congruences between Heegner points
Speaker: Chao Li (Columbia University)
September 14, 2020
More Information
Uniformity for the Number of Rational Points on a Curve
Speaker: Philipp Habegger (University of Basel)
September 21, 2020
More Information
$2^k$-Selmer groups, the Cassels-Tate pairing, and Goldfeld's conjecture
Speaker: Alexander Smith
September 28, 2020
More Information
On the Pila-Wilkie Theorem
Speaker: Neer Bhardwaj
October 5, 2020
More Information
Diophantine problems over large fields
Speaker: Arno Fehm
October 19, 2020
More Information
The Existential Closedness Problem for the Modular j-function
Speaker: Sebastian Eterovic
October 26, 2020
More Information
Nonexistence of exceptional units via Skolem-Chabauty's method
Speaker: Nicholas Triantafillou
November 02, 2020
More Information
The critical height of an endomorphism of projective space
Speaker: Patrick Ingram
November 09, 2020
More Information
Counting rational points on and close to algebraic varieties
Speaker: Damaris Schindler
November 16, 2020
More Information
Generalizations of CCT (II)
Speaker: Florian Pop
November 23, 2020
More Information
On Hilbert's tenth problem in two variables
Speaker: Levent Alpoge
November 30, 2020
More Information
Torsion values of sections, elliptical billiards and diophantine problems in dynamics
Speaker: Umberto Zannier
December 07, 2020
More Information
Applications of points on subvarieties of tori
Speaker: Peter Sarnak
December 14, 2020
More Information