<div dir="ltr"><div dir="ltr">Hola a todas y todos,<br><div><br></div><div dir="ltr">Este <b>Viernes 31 <span class="gmail-m_-6096592442810430332gmail-m_-6476972192841960559gmail-m_67807757082082791gmail-il">de</span> Mayo</b> a las <b>14:30</b> en el salón <span class="gmail-m_-6096592442810430332gmail-m_-6476972192841960559gmail-m_67807757082082791gmail-il">de</span> <span class="gmail-m_-6096592442810430332gmail-m_-6476972192841960559gmail-m_67807757082082791gmail-m_6905204666733737586gmail-il"><span class="gmail-m_-6096592442810430332gmail-m_-6476972192841960559gmail-m_67807757082082791gmail-il"><span class="gmail-m_-6096592442810430332gmail-m_-6476972192841960559gmail-il"><span class="gmail-m_-6096592442810430332gmail-il"><span class="gmail-il">seminarios</span></span></span></span></span> del <b>IMERL</b> nos hablará<b> Martin Leguil</b>.<br><br></div><div>Saludos,<br><br></div><div>Pablo<br></div><div>------------</div><b><br></b><br><b>Titulo:</b> Can you hear the shape of a chaotic billiard?<br><br><b>Resumen: </b>In
an ongoing project with J. De Simoi, V. Kaloshin, and P. Bálint, we
have been studying the question of spectral rigidity for a class of
dispersing billiards. For such billiard tables, there is a natural
symbolic coding of the set of periodic orbits, and we wonder how much
geometric information the Marked Length Spectrum (i.e., the set of
lengths of all periodic orbits together with their marking) conveys. One
direction we have been investigating is whether it is possible to
recover some local geometric information near period two orbits without
assuming symmetries. Moreover, we will see in this talk how it is
generically possible, in the analytic category, to recover the geometry
of such dispersing billiards with some symmetries from the purely
dynamical data encoded in their Marked Length Spectrum. </div></div>