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moshchevitin [2020/06/18 14:44]
Уланский Евгений Алесандрович [Lectures, new and old]
moshchevitin [2020/07/04 10:00]
Уланский Евгений Алесандрович [Lectures, new and old]
Строка 2: Строка 2:
 Написать [[Мощевитин Николай Германович|Николаю Германовичу]] можно по почте: **moshchevitin@gmail.com** или в скайп: Nikolaus Moshchevitin\\ Написать [[Мощевитин Николай Германович|Николаю Германовичу]] можно по почте: **moshchevitin@gmail.com** или в скайп: Nikolaus Moshchevitin\\
 \\ \\
-====== ​Seminar  ​"​Diophantine Analysis"​ ======+====== ​Online seminar ​"​Diophantine Analysis"​ ======
  
 Local organizers: Nikolay Moshchevitin and Oleg German\\ Local organizers: Nikolay Moshchevitin and Oleg German\\
 +
 +The seminar is held in zoom.\\
  
 If you are interested in participating please contact Nikolay Moshchevitin (**moshchevitin@gmail.com**).\\ If you are interested in participating please contact Nikolay Moshchevitin (**moshchevitin@gmail.com**).\\
  
 ===== Lectures, new and old ===== ===== Lectures, new and old =====
 +
 +**12**. Thursday, July 09, 2020,  at 15:00 Moscow time (GMT+3).
 +\\ **Speaker:​** ​ Reynold Fregoli
 +\\ **Title:** Multiplicative badly approximable matrices and the Littlewood conjecture ​    
 +\\ **Abstract:​** ​ {{:​multbad_abstract.pdf|IS HERE}}
 +
 +**11**. Thursday, June 25, 2020,  at 15:00 Moscow time (GMT+3).
 +\\ **Speaker:​** ​ Anthony Poëls.
 +\\ **Title:​** ​   Rational approximation to real points on quadratic hypersurfaces. ​
 +\\ **Abstract:​** ​ //Let Z be a quadratic hypersurface of R^n defined over Q containing points whose coordinates together with 1 are linearly independent over Q. In a joint work with Roy, we recently proved that, among these points, the largest exponent of uniform rational approximation is the inverse 1/rho_n of an explicit Pisot number rho_n < 2 depending only on n if the Witt index (over Q) of the quadratic form q defining Z is at most 1, and that it is equal to 1 otherwise. The proof for the upper bound 1/rho_n uses a recent transference inequality of Marnat and Moshchevitin. In the case n = 2, we recover results of Roy while for n > 2, this completes recent work of Kleinbock and Moshchevitin. We will explain the ideas behind the proofs and the constructions involved.//
  
 **10**. Thursday, June 18, 2020,  at 14:30 Moscow time (GMT+3). **10**. Thursday, June 18, 2020,  at 14:30 Moscow time (GMT+3).