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The Congruence Properties of Romik’s Sequence of Taylor Coefficients of Jacobi’s Theta Function θ3
[OWP-2024-12] (Mathematisches Forschungsinstitut Oberwolfach, 2024-11-29)
In [Ramanujan J. 52 (2020), 275-290], Romik considered the Taylor expansion of Jacobi's theta function θ3(q) at q=e−π and encoded it in an integer sequence (d(n))n≥0 for which he provided a recursive ...
A Gentle Introduction to Interpolation on the Grassmann Manifold
[OWP-2024-02] (Mathematisches Forschungsinstitut Oberwolfach, 2024-01-10)
Alternating Snake Modules and a Determinantal Formula
[OWP-2024-14] (Mathematisches Forschungsinstitut Oberwolfach, 2024-12-17)
We introduce a family of modules for the quantum affine algebra which include as very special cases both the snake modules and the modules arising from a monoidal categorification of cluster algebras. We give necessary and ...
A CFSG-Free Explicit Jordan’s Theorem over Arbitrary Fields
[OWP-2024-13] (Mathematisches Forschungsinstitut Oberwolfach, 2024-11-29)
We prove a version of Jordan's classification theorem for finite subgroups of GLn(K) that is at the same time quantitatively explicit, CFSG-free, and valid for arbitrary K. This is the first proof to satisfy ...