Quantum invariants of three manifolds were discoveredand defined in the early 1990s by Witten-Reshetikhin-Turaev. Thephysical approach to these invariants suggested…
Categoria evento: Baby Geometri Seminar
Volume rinormalizzato di 3-varietà iperboliche convesse-cocompatte – Viola Giovannini (University of Luxemburg-University of Pisa)
Data N una 3-varietà iperbolizzabile compatta con bordo, il volume rinormalizzato è una funzione a valori reali sullo spazio delle…
Extremely rough outline of Embedding Calculus – Hyeonhee Jin (MPIM Bonn)
Goodwillie-Weiss embedding calculus can be used to study diffeomorphism groups, finite type invariants, and isotopy classes of surfaces in 4 manifolds. …
R-equivalence and algebraic tori – Mattia Pirani (Università di Pisa)
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The dependence of the psc space of a manifold from its normal 2-type – Agnese Mantione (University of Münster)
Gromov and Lawson’s surgery theorem states that positive scalar curvature (psc) is invariant under surgeries of codimension at least 3.…
Subgroups generated by Dehn twists – Livio Ferretti (University of Bern)
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An introduction to higher rank Teichmüller theory – Andrea Tamburelli (University of Pisa)
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An introduction to Khovanov homology – Laura Marino (Institut de Mathématiques de Jussieu)
Introduced around 2000, Khovanov homology marked the start of a new field of study in knot theory. It was born as a “categorification” (or generalisation) of the Jones polynomial, a classical link invariant, but it proved to be more than just that…
The homology cobordism group – Oğuz Şavk (Stanford University / Boğaziçi University)
Since the 1980s, the homology cobordism group has been a
central object in the development of low-dimensional topology. …
The geometry of the Word Problem – Jeronimo Garcia Mejia (KIT Karlsruher Institut für Technologie)
We will review a classical problem in group theory, the so-called Word Problem, from a geometric perspective by relating it to an even older geometric problem, the Isoperimetric Problem. The main actor being Dehn functions. …