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Philipp Habegger E Praeger - The Number of Rational Points on a Curve of Genus at least 2 - Pure Mathematics Colloquium

Dates:5 March 2021
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers
Speaker:Philipp Habegger E Praeger
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  • In group "(Maths) Pure maths "
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Speaker: Philipp Habegger E Praeger, University of Basel

Series: Pure Mathematics Colloquium

Date and Time: Friday 5th March 2021, 3pm - 4pm

Title: The Number of Rational Points on a Curve of Genus at least 2 Abstract: By Faltings's Theorem, formerly known as the Mordell Conjecture, a system of multivariate polynomial equations that defines a smooth projective curve of genus at least 2 has at most finitely many rational solutions. Vojta later gave a second proof. Many authors, including Bombieri, de Diego, Parshin, Rémond, Vojta, proved upper bounds for the number of rational solutions. I will give an overview of Vojta's approach to the Mordell Conjecture. Later I will describe recent joint work with Vesselin Dimitrov and Ziyang Gao on a new uniform upper bound for the number of rational solutions.

Speaker

Philipp Habegger E Praeger

Role: Speaker

Organisation: University of Basel

  • https://dmi.unibas.ch/en/persons/philipp-habegger/

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vandita.patel@manchester.ac.uk

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