Courses / ActivitiesSchanuel's Conjecture and criteria for algebraic independence
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Ten years ago, Damien Roy introduced a new conjecture which he shows to be equivalent to Schanuel's one. His conjecture is reminiscent of Gel'fond's transcendence criteria and gives a strong motivation to prove new criteria for algebraic independence. In contrast with the previous ones, they involve derivatives and several points. We review the recent progress in this direction."
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Michel Waldschmidt
2009-05-22
10:30:00 - 11:20:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
Ten years ago, Damien Roy introduced a new conjecture which he shows to be equivalent to Schanuel's one. His conjecture is reminiscent of Gel'fond's transcendence criteria and gives a strong motivation to prove new criteria for algebraic independence. In contrast with the previous ones, they involve derivatives and several points. We review the recent progress in this direction."