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TZID:Europe/Vienna
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DTSTART:20260329T030000
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DTSTAMP:20260513T182221Z
UID:6848008d5c6c5604065909@ist.ac.at
DTSTART:20260603T153000
DTEND:20260603T163000
DESCRIPTION:Speaker: Jean-Louis Colliot-Thélène\nhosted by Tim Browning\n
 Abstract: A hundred years ago\, extending earlier results of Fermat\, Lege
 ndre\, Hilbert\, Minkowski\, Helmut Hasse etablished a "local-global princ
 iple" for the existence of rational solutions of quadratic polynomial equa
 tions with integral coefficients. The "local" conditions essentially requi
 re that no congruences prevent the existence of solutions. For polynomials
  of higher degree\, but with a number of variables bigger than the degree\
 , one might hope for a similar local-global principle. I shall survey the 
 proto-history and history of this problem and the many techniques develope
 d to prove or disprove this "principle" for specific classes of polynomial
 s.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Jean-Louis Colliot-Thélène: Local-global principle for the existe
 nce of solutions for diophantine equations with hopefully many solutions
URL:https://talks-calendar.ista.ac.at/events/6451
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