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- Behrend's_trace_formula abstract "In algebraic geometry, Behrend's formula is a generalization of the Grothendieck–Lefschetz trace formula to a smooth algebraic stack over a finite field, conjectured in 1993 and proven in 2003 by Kai Behrend. Unlike the classical one, the formula counts points in the "stacky way": taking into account the presence of nontrivial automorphisms. A proof of the formula in the context of the six operations formalism developed by Laszlo and Olsson is given by Shenghao Sun.The desire for the formula comes from the fact that it applies to the moduli stack of principal bundles on a curve over a finite field (indirectly, via the Harder–Narasimhan stratification, as the moduli stack is not of finite type.) Deligne found an example that shows the formula may be interpreted as a sort of the Selberg trace formula.".
- Behrend's_trace_formula wikiPageID "41791807".
- Behrend's_trace_formula wikiPageRevisionID "598778678".
- Behrend's_trace_formula subject Category:Algebraic_geometry.
- Behrend's_trace_formula comment "In algebraic geometry, Behrend's formula is a generalization of the Grothendieck–Lefschetz trace formula to a smooth algebraic stack over a finite field, conjectured in 1993 and proven in 2003 by Kai Behrend. Unlike the classical one, the formula counts points in the "stacky way": taking into account the presence of nontrivial automorphisms.".
- Behrend's_trace_formula label "Behrend's trace formula".
- Behrend's_trace_formula sameAs m.0_gzx8c.
- Behrend's_trace_formula sameAs Q17097788.
- Behrend's_trace_formula sameAs Q17097788.
- Behrend's_trace_formula wasDerivedFrom Behrend's_trace_formula?oldid=598778678.
- Behrend's_trace_formula isPrimaryTopicOf Behrend's_trace_formula.