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The Filtration Method in Diophantine Geometry

Introductory Workshop: Diophantine Geometry February 06, 2023 - February 10, 2023

February 09, 2023 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Min Ru (University of Houston)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

The Filtration Method In Diophantine Geometry


My talk will focus on the development and applications of the “filtration method”, which was introduced by Faltings and Wustholz in 1994 and developed by Evertse and Ferretti, and independently by Corvaja-Zannier. Further works were done by Levin, Autissier, and by Vojta and myself. In particular, I will present the recent work about a general arithmetic inequality, as an extension of the Schmidt's subspace theorem, established by Vojta and myself, as well as its applications. If time permits, I'll also describe its relationship with the algebro-geometric notion of the stability concerning the existence of Kahler-Einstein metric on Fano varieties.

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The Filtration Method In Diophantine Geometry

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