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-local systems from cubic threefolds
Thomas Krämer, Daniel Litt, Marco Maculan
We produce infinitely many local systems on (level covers of) the moduli space of smooth cubic threefolds, with algebraic monodromy group equal to the exceptional group . Thes…
Big monodromy for higher Prym representations
Aaron Landesman, Daniel Litt, Will Sawin
Let be a cover of an orientable surface of genus g by an orientable surface of genus g', branched at n points, with Galois group H. Such a cover induces a virtual…
p-adic iterated integration on semistable curves
Eric Katz, Daniel Litt
We reformulate the theory of p-adic iterated integrals on semistable curves using the unipotent log rigid fundamental group. This fundamental group carries Frobenius and monodromy…
Prill's problem
Aaron Landesman, Daniel Litt
We solve Prill's problem, originally posed by David Prill in the late 1970s and popularized in ACGH's "Geometry of Algebraic Curves." That is, for any curve of genus , we pr…
An introduction to the algebraic geometry of the Putman-Wieland conjecture
Aaron Landesman, Daniel Litt
We give algebraic and geometric perspectives on our prior results toward the Putman-Wieland conjecture. This leads to interesting new constructions of families of "origami" curves…
Geometric local systems on very general curves and isomonodromy
Aaron Landesman, Daniel Litt
We show that the minimum rank of a non-isotrivial local system of geometric origin, on a suitably general -pointed curve of genus , is at least . We apply this r…