2026-10-19T01:18:03Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/170282026-10-18T20:42:58Zopenairedrivercom_ebyu_10000col_ebyu_10001

Local systems with tame, and a unipotent, local monodromyFlicker, Yuval Z.Ozkan, EnginLocal systemsl-adic representationsAutomorphic representationsTame and Steinberg representationsPseudo-coefficientsExplicit trace formulaCurves over finite fieldsCountingREPRESENTATIONSMathematicsWe compute the cardinality of a set of Galois-invariant isomorphism classes of irreducible rank two (Q) over bar (l)-smooth sheaves on X-1-S-1 , where X-1 is a smooth projective absolutely irreducible curve of genus g over a finite field F-q and S-1 is a reduced divisor, with pre-specified tamely ramified monodromy data at S, including precisely one point of principal unipotent monodromy, twisted by a tame character. Equivalently, we compute the number of the corresponding automorphic representations. The approach is based on using an explicit form of the trace formula for GL(2) , extending the work Counting local systems with tame ramification to include a Steinberg (= special) component, twisted by a tame character, by employing a pseudo-coefficient thereof.SPRINGER INT PUBL AG2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/17028https://doi.org/10.1007/s40863-023-00374-81982-6907enSAO PAULO JOURNAL OF MATHEMATICAL SCIENCESinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/17028