6 citations · 8 across the 10 of their papers we have counts for
12 papers
Cocenter of Hecke algebras of Kac-Moody groups
Xuhua He, Felix Schremmer
Let be the generic Hecke algebra over associated to a split Kac--Moody group , arising as the deformation of the group algebra of its Weyl g…
Cohen-Macaulayness of Local Models via Shellability of the Admissible Set
Xuhua He, Felix Schremmer, Qingchao Yu
We prove that for any dominant cocharacter and any parahoric level , the augmented admissible set $\widehat{\Adm(μ)^K}$ in the Iwahori-Weyl group is dual EL-shellable. This…
Weighted projective lines and Hochschild cohomology
Felix Schremmer
We describe the dimensions of Hochschild (co)homology groups of weighted projective curves over complex numbers. Surprisingly, all but one of those numbers depend only on the genus…
Affine Deligne-Lusztig varieties beyond the minute case
Felix Schremmer, Eva Viehmann
Affine Deligne-Lusztig varieties in the fully Hodge-Newton decomposable (or minute) case are the only larger class of ADLVs which could be described completely in the past. Instanc…
Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements
Sian Nie, Felix Schremmer, Qingchao Yu
Cases of Shimura varieties where the special fibre of a Rapoport-Zink space is simply the union of classical Deligne-Lusztig varieties are known as fully Hodge-Newton decomposable…
Affine Deligne-Lusztig Varieties of Positive Coxeter Type
Felix Schremmer, Ryosuke Shimada, Qingchao Yu
We introduce a class of affine Deligne--Lusztig varieties that we call of positive Coxeter type. We show that the affine Deligne--Lusztig varieties of positive Coxeter type have a…
Machine learning assisted exploration for affine Deligne-Lusztig varieties
Bin Dong, Xuhua He, Pengfei Jin +2
This paper presents a novel, interdisciplinary study that leverages a Machine Learning (ML) assisted framework to explore the geometry of affine Deligne-Lusztig varieties (ADLV). T…
Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra
Felix Schremmer
We introduce a new language to describe the geometry of affine Deligne-Lusztig varieties in affine flag varieties. This second part of a two paper series uses this new language, i.…
Affine Deligne-Lusztig varieties via the double Bruhat graph I: Semi-infinite orbits
Felix Schremmer
We introduce a new language to describe the geometry of affine Deligne-Lusztig varieties in affine flag varieties. This first part of a two paper series develops the definition and…
Newton Strata in Levi Subgroups
Felix Schremmer
Certain Iwahori double cosets in the loop group of a reductive group, known under the names of -alcoves or -alcoves, play an important role in the study of affine Delig…
Affine Bruhat order and Demazure products
Felix Schremmer
We give new descriptions of the Bruhat order and Demazure products of affine Weyl groups in terms of the weight function of the quantum Bruhat graph. These results can be understoo…
Generic Newton points and cordial elements
Felix Schremmer
We describe the generic -conjugacy classes associated with the Iwahori-Bruhat decomposition of a reductive group. As an application, we classify cordial elements as introduced b…