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wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex"> <div class="wp-block-column is-layout-flow wp-block-column-is-layout-flow" style="flex-basis:33.33%"> <figure class="wp-block-image size-large"><a href="http://www.imj-prg.fr/aa/wp-content/uploads/sites/2/2020/12/poster-aa2.pdf"><img fetchpriority="high" decoding="async" width="320" height="452" src="http://dev.imj-prg.fr/aa/wp-content/uploads/sites/2/2020/12/poster-aa-1.jpg" alt="" class="wp-image-55" srcset="https://www.imj-prg.fr/aa/wp-content/uploads/sites/2/2020/12/poster-aa-1.jpg 320w, https://www.imj-prg.fr/aa/wp-content/uploads/sites/2/2020/12/poster-aa-1-212x300.jpg 212w" sizes="(max-width: 320px) 100vw, 320px" /></a></figure> </div> <div class="wp-block-column is-layout-flow wp-block-column-is-layout-flow" style="flex-basis:66.66%"> <h3 class="wp-block-heading">Equipe Analyse Alg茅brique</h3> <p><strong>Responsable d鈥櫭﹒uipe聽:</strong> Fran莽ois Loeser<br><strong>Responsables adjoints聽:</strong> Penka GEORGIEVA, Maxime ZAVIDOVIQUE<br><strong>Gestionnaire聽:</strong> <a href="/equipe-administrative/">Julienne PASSAVE</a></p> <p>Adresse postale :</p> <figure class="wp-block-table"><table><tbody><tr><td>IMJ-PRG – UMR7586<br>Universit茅 Pierre et Marie Curie<br>Boite courrier 247<br>Couloir 15-25 5e 茅tage<br>4 place Jussieu, 75252 Paris Cedex 05</td></tr></tbody></table></figure> </div> </div> </p> </div> </div> <div class="row"> <div class="col-sm-6 offset-sm-3" > <div class="actu"> <tr><td id="col-logo"> <div class='logo'> </div></td> <td><h3>L鈥檃pr猫s-midi de l鈥櫭﹒uipe 12/11/2024</h3> <p> <p>L鈥檃pr猫s-midi de l鈥櫭﹒uipe aura lieu<strong>聽le 12/11/2024聽</strong>en salle<strong>聽15.16.413.</strong></p> <p></p> <p><strong>Programme :</strong></p> <p>15h00 – 17h30 : Expos茅s des nouveaux arrivants de l鈥櫭﹒uipe (titres et r茅sum茅s plus bas)</p> <p>15h00 – 15h40聽: Russell Avdek</p> <p>15h50 – 16h30 : Felipe Espreafico Guelerman Ramos聽 聽 聽 聽 </p> <p>16h40 – 17h20 :聽Ioannis Iakovoglou</p> <p>17h30 – 18h : R茅union de l鈥櫭﹒uipe</p> <p><strong>脌 partir de 18h00 : pot dans la salle 15.16.417</strong></p> <p></p> <p><strong>R茅sum茅s des expos茅s :</strong></p> <p>Russell Avdek</p> <p>Title : Algebraic invariants of contact manifolds</p> <p>Abstract :聽Contact manifolds appear naturally in complex geometry and smooth topology,聽and the talk will start with some famous examples. Afterwards, I’ll review some algebraic invariants of contact manifolds and discuss how they relate to known algebraic structures like loop space homologies and quantum knot invariants. Time permitting, I’ll summarize some of my related ongoing projects.</p> <p></p> <p>Felipe Espreafico Guelerman Ramos</p> <p>Title : 聽Counting Lines on Hypersurfaces: beyond real and complex counts</p> <p>Abstract : 聽Since our mathematical infancy, we learn that a complex cubic surfaces on the projective space have 27 lines. After that, we quickly learn how to get similar numbers for higher dimensional hypersurfaces. Using the machinery from $A^1$-homotopy theory, it is possible to compute counts for lines over a general field $k$ which are not integers, but quadratic forms. In these counts, each line contributes with a local index, which is given by a quadratic form. In this talk, we explain how to obtain such counts and explore the geometric nature of the local contributions. This is joint with Sabrina Pauli and Stephen McKean.</p> <p></p> <p>Ioannis Iakovoglou</p> <p>Title :聽Classifying Anosov flows in dimension 3 by geometric types</p> <p id="reply-intro">Abstract : In this talk, I will introduce a new approach to the problem of classification of transitive Anosov flows in dimension 3 up to orbital equivalence. To every transitive Anosov flow on a 3-manifold, we can associate a group action on a bifoliated plane characterizing completely the original flow up to orbital equivalence. During my thesis, I proved that all the 聽information of the previous action can be stored inside a combinatorial object, called a geometric type, and thus that geometric types can be used to classify Anosov flows in dimension 3. In this 聽talk, I will explain how one constructs geometric types for any Anosov flow and I will also mention some recent applications of this classification method in the theory of Anosov flows.</p> </p> <br> </div> <div class="actu"> <tr><td id="col-logo"> <div class='logo'> </div></td> <td><h3>Apr猫s-midi de l’茅quipe 05/03/2024</h3> <p> <p>聽l鈥檃pr猫s-midi de l鈥櫭﹒uipe aura lieu<strong>聽le 05/03/2024聽</strong>en salle<strong>聽15.16.413.</strong></p> <p><strong>Programme :</strong></p> <p>14h30 – 16h50 : Expos茅s des nouveaux arrivants dans l鈥櫭﹒uipe (titres et r茅sum茅s plus bas)</p> <p><br>14h30 – 15h10 Erman Cineli</p> <p>15h20 – 16h00 Tudor Padurariu聽 聽 聽 聽</p> <p>16h10 – 16h50 Amanda Hirschi</p> <p><strong><br class=""></strong>16h50 – 17h15 : R茅union de l鈥櫭﹒uipe</p> <p><strong>脌 partir de 17h30 : pot dans la salle 15.16.417</strong></p> <p></p> <p><strong>R茅sum茅s des expos茅s :</strong></p> <p><strong>Erman Cineli</strong></p> <p>Title: Invariant Sets and Hyperbolic Periodic Orbits of Reeb Flows</p> <p>Abstract: In this talk we will discuss the impact of hyperbolic聽(or, more generally, isolated as an invariant set) closed Reeb orbits on the global dynamics of Reeb flows on聽the standard contact sphere. We will discuss extensions of聽two results聽previously known for Hamiltonian diffeomorphisms to the Reeb setting. The first one asserts that,聽under a very mild dynamical convexity type assumption, the presence of one hyperbolic closed orbit implies the existence of infinitely many simple closed Reeb orbits. The second result is a higher-dimensional Reeb analogue of the Le Calvez-Yoccoz theorem, asserting that no closed orbit of a non-degenerate dynamically convex Reeb pseudo-rotation is isolated as an invariant set.聽The talk is based on a joint work with聽Viktor Ginzburg, Basak Gurel and Marco Mazzucchelli.</p> <p><strong></strong></p> <p><strong>Tudor Padurariu</strong></p> <p>Title: Quasi-BPS categories for K3 surfaces</p> <p>Abstract: BPS invariants and cohomology are central objects in the study of (Kontsevich-Soibelman) Hall algebras or in enumerative geometry of Calabi-Yau 3-folds. </p> <p>In joint work with Yukinobu Toda, we introduce a categorical version of BPS cohomology for local K3 surfaces, called quasi-BPS categories. When the weight and the Mukai vector are coprime, the quasi-BPS category is smooth, proper, and with trivial Serre functor etale locally on the good moduli space. Thus quasi-BPS categories provide (twisted) categorical (etale locally) crepant resolutions of the moduli space of semistable sheaves on a K3 surface for generic stability condition and a general Mukai vector. Time permitting, I will also discuss a categorical version of the \chi-independence phenomenon for BPS invariants.</p> <p><strong>Amanda Hirschi</strong></p> <p>Title : Going global</p> <p>Abstract : Moduli spaces of pseudoholomorphic curves , while providing powerful symplectic invariants, are generally difficult to work with due to transversality problems. In 2021, Abouzaid-McLean-Smith achieved a breakthrough by constructing a nice representation, called a global Kuranishi chart, for the moduli space of stable maps to a symplectic manifold. While briefly sketching the construction, I will mainly focus on explaining some applications to pseudoholomorphic curve theory.</p> </p> <br> </div> </div> </div> <div class="myFooter"> <hr id="ligne-pied"> <div class="container"> <ul> <li><a href="http://intranet.imj-prg.fr">INTRANET</a></li> <li><a href="https://webmail.imj-prg.fr">WEBMAIL</a></li> <li><a href="https://www.imj-prg.fr/mentions-legales">MENTIONS LEGALES</a> </li></ul> <br> <p> © IMJ-PRG </p> </div> </div> <style id='core-block-supports-inline-css' type='text/css'> .wp-container-core-columns-is-layout-1{flex-wrap:nowrap;} </style> <script type="text/javascript" src="https://stackpath.bootstrapcdn.com/bootstrap/4.3.1/js/bootstrap.min.js?ver=1" id="boostrap-js-js"></script> <script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.4/MathJax.js?config=TeX-MML-AM_CHTML"> </script> </body> </html>