Perverse Sheaves and Applications to Representation Theory

2021 ◽  
Author(s):  
Pramod Achar
Keyword(s):  
Representation Theory ◽  
Perverse Sheaves

scholarly journals Summands of theta divisors on Jacobians

2020 ◽  
Vol 156 (7) ◽  
pp. 1457-1475
Author(s):  
Thomas Krämer
Keyword(s):  
Representation Theory ◽  
Decomposition Theorem ◽  
Perverse Sheaves ◽  
Theta Divisor

We show that the only summands of the theta divisor on Jacobians of curves and on intermediate Jacobians of cubic threefolds are the powers of the curve and the Fano surface of lines on the threefold. The proof only uses the decomposition theorem for perverse sheaves, some representation theory and the notion of characteristic cycles.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products
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