IMSA Seminar Ludmil Katzarkov, University of Miami Milnor Spheres – 60 Years Later Friday, October 27, 2023, 5:00pm Ungar, Room 528B Abstract: Recently we were able to look at this classical differential topology result from the prospect of category theory. In this talk I will report our findings. Joint work Dr. Lino Grama and Dr. Leonardo Cavenaghi. IMSA Seminar Ludmil Katzarkov, University of Miami Further Invariants Wednesday, September 26, 2023, 5:50pm Ungar, Room 528B IMSA Seminar Kaiqi Yang, University of Miami Birational Invariants for sing Fano over algebraically non-closed fields Wednesday, September 26, 2023, 5:00pm Ungar, Room 528B IMSA Seminar Rodolfo Aguilar, University of Miami Recent developments on the Shafarevich conjecture Wednesday, September 6, 2023, 5:00pm Ungar, Room 528B Abstract: I will give a brief survey on recent works around the Shafarevich conjecture on holomorphic convexity of the universal cover of quasi-projective varieties. My main focus will be the nilpotent case and contributions of Green-Griffiths-Katzarkov and Aguilar-Campana. Some tools of the proof will be given. Time permitting, I will give some comments on the reductive case. IMSA Seminar Rene Mboro, University of Miami Remarks on Lagrangian Submanifolds of Hyper-Kaehler Manifolds Wednesday, August 30, 2023, 5:00pm Ungar, Room 528B Abstract: We will present some properties of Lagrangian subvarieties of irreducible symplectic (or hyper-Kaehler) manifolds. We will focus on their interaction with a Lagrangian fibrations of the ambient hyper-K\"ahler and the albanese dimension of Lagrangian surfaces. IMSA Seminar Ludmil Katzarkov, University of Miami A parallel reality look at generalized geometry Wednesday, August 23, 2023, 5:00pm Ungar, Room 528B Abstract: We begin by recalling classical works of Donaldson and Simpson. Based on these works we take a new look at generalized geometries and "Hodge theory" connected with them.
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