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Rahul Pandharipande - Stable quotients and relations in the tautological ring


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Rahul Pandharipande - Stable quotients and relations in the tautological ring

The topic concerns relations among the kappa classes in the tautological ring of the

moduli space of genus
g
curves. After a discussion of classical constructions in Wick form, we derive
an explicit set of relations obtained from the virtual geometry of the moduli space of stable quotients.
In a series of steps, the stable quotient relations are transformed to simpler and simpler forms. Our
nal result establishes a previously conjectural set of tautological relations proposed a decade ago by
Faber{Zagier.
 

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 Bruno Lévy - A numerical algorithm for L2 semi-discrete optimal transport in 3D
 Xiangyu Liang - An example of proving Almgrem's minimality by product of paired calibrations
 Andrew Lorent - The Aviles-Giga functional: past and present
 Francesco Maggi - A quantitative description of almost constant mean curvature hypersurfaces
 Matteo Novaga - Nonlocal isoperimetric problems
 Guy David - Minimal sets (Part 2)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 1)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 2)
 Guy David - Minimal sets (Part 3)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 3)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 4)
 Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 5)
 Joseph Fu - Integral geometric regularity (Part 1)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 2)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 3)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 4)
 Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 5)
 Tatiana Toro - Geometry of measures and applications (Part 1)
 Tatiana Toro - Geometry of measures and applications (Part 2)
 Tatiana Toro - Geometry of measures and applications (Part 3)
 Tatiana Toro - Geometry of measures and applications (Part 4)
 Tatiana Toro - Geometry of measures and applications (Part 5)
 Joseph Fu - Integral geometric regularity (Part 2)
 Joseph Fu - Integral geometric regularity (Part 3)
 Joseph Fu - Integral geometric regularity (Part 4)
 Joseph Fu - Integral geometric regularity (Part 5)
 Andrea Braides - Geometric measure theory issues from discrete energies
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 2)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 4)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 5)
 Nicholas Alikakos - On the structure of phase transition maps : density estimates and applications
 Elie Bretin - About phase field method to approximate the willmore flow
 Guy David - Minimal sets (Part 1)
 Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 1)
FMSH
 
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