Now showing items 1-20 of 20

• #### Aeppli-Bott-Chern-Massey Products, Bigraded Notions of Formality, and Non-Zero Degree Maps ﻿

[OWP-2022-04] (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-15)
We introduce and study notions of bigraded formality for the algebra of forms on a complex manifold, along with their relation to higher Aeppli-Bott-Chern-Massey products which extend, in an augmented setting, the case of ...
• #### Applications of Nijenhuis Geometry III: Frobenius Pencils and Compatible Non-Homogeneous Poisson Structures ﻿

[OWP-2022-01] (Mathematisches Forschungsinstitut Oberwolfach, 2022-01-20)
We consider multicomponent local Poisson structures of the form $\mathcal P_3 + \mathcal P_1$, under the assumption that the third order term $\mathcal P_3$ is Darboux-Poisson and non-degenerate, and study the Poisson ...
• #### Birational Rowmotion on a Rectangle over a Noncommutative Ring ﻿

[OWP-2022-17] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-20)
We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014. The proof ...
• #### Bounded Weight Modules for Basic Classical Lie Superalgebras at Infinity ﻿

[OWP-2022-09] (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-30)
• #### Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries ﻿

[OWP-2022-05] (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-21)
Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonical forms under congruence are presented ...
• #### On a Conjecture of Khoroshkin and Tolstoy ﻿

[OWP-2022-14] (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-02)
We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal $R$-matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from ...
• #### On the Enumeration of Finite $L$-Algebras ﻿

[OWP-2022-11] (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-29)
We use Constraint Satisfaction Methods to construct and enumerate finite L-algebras up to isomorphism. These objects were recently introduced by Rump and appear in Garside theory, algebraic logic, and the study of the ...
• #### Quasi-Equilibria and Click Times for a Variant of Muller's Ratchet ﻿

[OWP-2022-18] (Mathematisches Forschungsinstitut Oberwolfach, 2022-11-30)
Consider a population of $N$ individuals, each of them carrying a type in $\mathbb N_0$. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type $k$ has the same selective ...
• #### Root Cycles in Coxeter Groups ﻿

[OWP-2022-16] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-15)
For an element $w$ of a Coxeter group $W$ there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on $\Phi$, the root system of $W$. This paper investigates ...
• #### Shock-avoiding Slicing Conditions: Tests and Calibrations ﻿

[OWP-2022-12] (Mathematisches Forschungsinstitut Oberwolfach, 2022-07-19)
While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternative "shockavoiding" slicing conditions ...
• #### Some Homological Properties of Borel Type Ideals ﻿

[OWP-2022-03] (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-01)
We study ideals of Borel type, including $k$-Borel ideals and $t$-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated ...
• #### Trivial Source Character Tables of SL2(q) ﻿

[OWP-2022-02] (Mathematisches Forschungsinstitut Oberwolfach, 2022-01-28)
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via ...