Sobre como um dia o trabalho de Maryam Mirzakhani (e de Marina Ratner, também recentemente falecida) no campo de sistemas dinâmicos pode vir a contribuir para a Lógica, via Teoria da Complexidade: https://rjlipton.wordpress.com/2017/07/28/maryam-mirzakhani-1977-2017/
JM On Mon, Jul 17, 2017 at 3:52 PM, Walter Carnielli < walter.carnie...@gmail.com> wrote: > Novo post em *What's new* > > I am totally stunned to learn that Maryam Mirzakhani > <https://en.wikipedia.org/wiki/Maryam_Mirzakhani> died today > <http://www.bbc.com/news/science-environment-40617094>, aged 40, after a > severe recurrence of the cancer she has been fighting for several years. I > had planned to email her some wishes for a speedy recovery after learning > about the relapse yesterday; I still can't fully believe that she didn't > make it. > > My first encounter with Maryam was in 2010, when I was giving some lectures > at Stanford > <https://mrc.stanford.edu/events/annual-bergman-lecture-terence-tao> - > one on Perelman's proof of the Poincare conjecture, and another on random > matrix theory. I remember a young woman sitting in the front who asked > perceptive questions at the end of both talks; it was only afterwards that > I learned that it was Mirzakhani. (I really wish I could remember exactly > what the questions were, but I vaguely recall that she managed to put a > nice dynamical systems interpretation on both of the topics of my talks.) > > After she won the Fields medal in 2014 (as I posted about previously on > this blog > <https://terrytao.wordpress.com/2014/08/12/avila-bhargava-hairer-mirzakhani/>), > we corresponded for a while. The Fields medal is of course one of the > highest honours one can receive in mathematics, and it clearly advances > one's career enormously; but it also comes with a huge initial burst of > publicity, a marked increase in the number of responsibilities to the field > one is requested to take on, and a strong expectation to serve as a public > role model for mathematicians. As the first female recipient of the medal, > and also the first to come from Iran, Maryam was experiencing these > pressures to a far greater extent than previous medallists, while also > raising a small daughter and fighting off cancer. I gave her what advice I > could on these matters (mostly that it was acceptable - and in fact > necessary - to say "no" to the vast majority of requests one receives). > > Given all this, it is remarkable how productive she still was > mathematically in the last few years. Perhaps her greatest recent > achievement has been her "magic wand <https://arxiv.org/abs/1502.05654>" > theorem > with Alex Eskin <https://arxiv.org/abs/1302.3320>, which is basically the > analogue of the famous measure classification and orbit closure theorems > of Marina Ratner <https://en.wikipedia.org/wiki/Ratner%27s_theorems>, in > the context of moduli spaces instead of unipotent flows on homogeneous > spaces. (I discussed Ratner's theorems in this previous post > <https://terrytao.wordpress.com/2007/09/29/ratners-theorems/>. By an > unhappy coincidence, Ratner also passed away this month > <https://math.berkeley.edu/about/history/in-memoriam>, aged 78.) > Ratner's theorems are fundamentally important to any problem to which a > homogeneous dynamical system can be associated (for instance, a special > case of that theorem shows up in my work with Ben Green and Tamar Ziegler > on the inverse conjecture for the Gowers norms, and on linear equations in > primes), as it gives a good description of the equidistribution of any > orbit of that system (if it is unipotently generated); and it seems the > Eskin-Mirzakhani result will play a similar role in problems associated > instead to moduli spaces. The remarkable proof of this result - which now > stands at over 200 pages <https://arxiv.org/abs/1302.3320>, after three > years of revision and updating - uses almost all of the latest techniques > that had been developed for homogeneous dynamics, and ingeniously adapts > them to the more difficult setting of moduli spaces, in a manner that had > not been dreamed of being possible only a few years earlier. > > Maryam was an amazing mathematician and also a wonderful and humble human > being, who was at the peak of her powers. Today was a huge loss for > Maryam's family and friends, as well as for mathematics. > > -- > Você recebeu essa mensagem porque está inscrito no grupo "LOGICA-L" dos > Grupos do Google. > Para cancelar inscrição nesse grupo e parar de receber e-mails dele, envie > um e-mail para logica-l+unsubscr...@dimap.ufrn.br. > Para postar nesse grupo, envie um e-mail para logica-l@dimap.ufrn.br. > Acesse esse grupo em https://groups.google.com/a/di > map.ufrn.br/group/logica-l/. > Para ver essa discussão na Web, acesse https://groups.google.com/a/di > map.ufrn.br/d/msgid/logica-l/CA%2Bob58MnCzxQLKRc56%3DVbm3Bz > 00zZTJJvS6X5GLKNavR5F5JWQ%40mail.gmail.com > <https://groups.google.com/a/dimap.ufrn.br/d/msgid/logica-l/CA%2Bob58MnCzxQLKRc56%3DVbm3Bz00zZTJJvS6X5GLKNavR5F5JWQ%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- http://sequiturquodlibet.googlepages.com/ -- Você está recebendo esta mensagem porque se inscreveu no grupo "LOGICA-L" dos Grupos do Google. Para cancelar inscrição nesse grupo e parar de receber e-mails dele, envie um e-mail para logica-l+unsubscr...@dimap.ufrn.br. Para postar neste grupo, envie um e-mail para logica-l@dimap.ufrn.br. Visite este grupo em https://groups.google.com/a/dimap.ufrn.br/group/logica-l/. Para ver esta discussão na web, acesse https://groups.google.com/a/dimap.ufrn.br/d/msgid/logica-l/CAO6j_LjOSyTO4QZg0JFf%3DK%3Dy-mKAO99_fHKWv-SiW1W9oxFqAg%40mail.gmail.com.
