Search
Search Results
-
Real-Imaginary Conjugacy Classes and Real-Imaginary Irreducible Characters in Finite Groups
Let G be a finite group. A character χ of G is said to be real-imaginary if its values are real or purely imaginary. A conjugacy class C of a in G is...
-
Symbolic computation for the qualitative theory of differential equations
This paper provides a survey on symbolic computational approaches for the analysis of qualitative behaviors of systems of ordinary differential...
-
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very...
-
How to Do Maths with Words: Neural Machine Learning Applications to Mathematics and Their Philosophical Significance
Recent years have seen a remarkable development of deep neural network techniques for data analysis, along with their increasing application in...
-
Relative Character Identities and Theta Correspondence
We consider the Sakellaridis-Venkatesh program for the rank 1 spherical variety X = SOn−1∖SOn. Using theta correspondence, we classify the...
-
Polynomial Tau Functions of Symplectic KP and Multi-component Symplectic KP Hierarchies
In this paper, we prove that a zero mode of an appropriate combinatorial generating function is a polynomial tau-function of a form of symplectic KP...
-
Background and Fundamental Concepts
This book is about doing computations with functions. Given a function, we may for example want to prove certain conjectures about it, to discover...
-
-
Stochastic quantisation of Yang–Mills–Higgs in 3D
We define a state space and a Markov process associated to the stochastic quantisation equation of Yang–Mills–Higgs (YMH) theories. The state space
... 
-
On Zeros of Characters of Finite Groups
We survey some results concerning the distribution of zeros in the character table of a finite group and its influence on the structure of the group...
-
Cox Rings of Trinomial Hypersurfaces
AbstractA criterion for the total coordinate space of a trinomial hypersurface to be a hypersurface is found. An algorithm for calculating the Cox...
-
Peirce on Mathematical Reasoning and Discovery
Topics pertinent to mathematics concern the modes of reasoning in mathematics and their contribution to the discovery of new mathematical ideas,...
-
The Generalized Roof F(1, 2,n): Hodge Structures and Derived Categories
We consider generalized homogeneous roofs, i.e. quotients of simply connected, semisimple Lie groups by a parabolic subgroup, which admit two...
-
Universal Approximations of Invariant Maps by Neural Networks
We describe generalizations of the universal approximation theorem for neural networks to maps invariant or equivariant with respect to linear...
-
Groups whose prime graph on class sizes has a cut vertex
Let G be a finite group, and let Δ( G ) be the prime graph built on the set of conjugacy class sizes of G : this is the simple undirected graph whose...
-
Epilogue: Stokes Phenomena. Dynamics, Classification Problems and Avatars
We describe the Stokes phenomenon, its main significance, and its emergence in various landscapes. We explain how to use Stokes phenomena to enrich...
-
-
Hankel transform, Langlands functoriality and functional equation of automorphic L-functions
This is a survey on recent works of Langlands’s work on functoriality conjectures and related works including the works of Braverman and Kazhdan on...