Francisco Braun (Federal University of São Carlos, Brazil): The global invertibility problem and the Jacobian conjecture
Vineri, 15 noiembrie 2024, ora 12, va invitam sa participati la urmatoarea prelegere invitată:
The global invertibility problem and the Jacobian conjecture
susținută de Francisco Braun (Federal University of São Carlos, Brazil).
Abstract: The problem of finding conditions guaranteeing a local invertible map is globally invertible goes back at least to the works of Hadamard, in the early 19th century. Maybe the most known open problem here is the Jacobian conjecture, raised by Keller in 1939, claiming that a polynomial map F : 𝕂n → 𝕂n, where 𝕂 is a field of characteristic 0 and n ≥ 2, becomes an automorphism provided its Jacobian determinant is a nonzero constant. If 𝕂 = ℝ, the claim that F is invertible if its Jacobian determinant is different from zero throughout ℝn was disproved by a celebrated counterexample provided by Pinchuk in 1994.
Abstractul este disponibil și în format pdf 
aici.
Prelegerea va avea loc online, folosind Microsoft Teams la acest link de acces.
Alternativ, pentru conectare se poate folosi:
Meeting ID: 340 972 436 501
Passcode: UjpNyi
