Zhenhui Ding

(Higher) Auslander-Reiten theory, higher homological algebra, algebraic representation theory.

[あお @galois915]

プレプリントを公開しました！
三角圏の2-クラスター傾対象でのイデアル商はアーベル圏になるという有名な結果を、アーベル d-切断DG圏（大体(d,1)-圏と呼ばれているもの）を用いて高次元一般化を与えたという結果です。

https://t.co/ht9825pbbg

[arXiv math.RT Representation Theory @mathRTb]

Silting-discrete graded path algebras
arXiv:2605.23704

[Solyu🐬 @MrSolyu]

初論文のプレプリントが公開されました！！

https://t.co/S3V9G2OvPg

束や順序集合の構造に関する組合せ論です。表現論との関連も予想しているので、興味のある方は是非お読み下さい！

[Zhenhui Ding @dzf1999]

If I’m allowed to be heartless and disrespectful to any particular human being I’d say that Wikipedia is the best teacher I’ve ever met in college and ChatGPT/Gemini (hard to decide which one first) the best one thereafter.

[Zhenhui Ding @dzf1999]

Jacques Tits’s metaphor of buildings, apartments, chambers, galleries, panels, alcoves, etc. is just impressive.

[Zhenhui Ding @dzf1999]

No, it’s not actually a “trichotomy” in geometry. The hyperbolic case is just contained in the third case. Yes, I’m referring to Coxeter geometry,

[Zhenhui Ding @dzf1999]

Trichotomy in algebra: finite, tame, wild.
Trichotomy in geometry: spherical(finite), Euclidean(affine), hyperbolic.

[Zhenhui Ding @dzf1999]

Trichotomy in algebra: finite, tame, wild.
Trichotomy in geometry: spherical(finite), Euclidean(affine), hyperbolic.

[arXiv math.RT Representation Theory @mathRTb]

Marvin Plogmann: Complicial simple-minded collections https://t.co/YfWmFUtx7Y https://t.co/0g2HDdWPse https://t.co/y21xZcSYEM

[arXiv math.RT Representation Theory @mathRTb]

Akagi, Nakanishi: Relation between generalized and ordinary cluster algebras https://t.co/P2CqIeNDgx https://t.co/LF9gwL1WU9 https://t.co/lWeCaCyx1r

[arXiv math.RT Representation Theory @mathRTb]

\'Alvaro S\'anchez: Abstract representation theory via coherent Auslander-Reiten d... https://t.co/oFheBi2ht5 https://t.co/OSCtsnRlnk https://t.co/5eBTkLGkbF

[arXiv math.RA Rings and Algebras @mathRAb]

Grabowski, Gratz: Abstract Cluster Structures https://t.co/0A9c3PULxg https://t.co/U2veF9chEt https://t.co/uG1gYwmxW2

[arXiv math.RT Representation Theory @mathRTb]

Jasso, Krause, Schroll: Rickard's Derived Morita Theory: Review and Outlook https://t.co/c7257Ww55E https://t.co/y6hOPA919y https://t.co/OxE4vSZzDb

[arXiv math.RT Representation Theory @mathRTb]

Keller, Liu: A Higgs category for the cluster variety of triples of flags https://t.co/GtjcNkl5v8 https://t.co/varS5s3rKf https://t.co/5IOW6K4ykj

[arXiv math.CT Category Theory @mathCTbot]

Reza Sazeedeh: Classifying localizing subcategories of a Grothendieck category https://t.co/XhCEPszeuI https://t.co/H6t36HiCvF https://t.co/DnetrOeSx8

[arXiv math.RT Representation Theory @mathRTb]

Fillmore, Hartwig: Subcategories of Module Categories via Restricted Yoneda Embed... https://t.co/eh4h7TRTm5 https://t.co/BC80bqFkrh https://t.co/6AfSRIppzL

[Zhenhui Ding @dzf1999]

how beautiful

[arXiv math.RT Representation Theory @mathRTb]

Li Wang, Jiaqun Wei: The first Brauer-Thrall conjecture for extriangulated length c... https://t.co/i9LDx9gF8H https://t.co/jx91kxeN5e https://t.co/IgXvug2uf1

[Zhenhui Ding @dzf1999]

@Jason_Tw1tter hh好啊

[Zhenhui Ding @dzf1999]

I wish I had read the proof of that the stable category of a Frobenius exact category is the homotopy category of a pretriangulated dg category sooner😅

[Zhenhui Ding @dzf1999]

By which I mean the quantum version of every thing! Also words like Hall algebras, cluster structures and definitely more combinatorics!

[Zhenhui Ding @dzf1999]

But I think making the obvious analogies is lame. Really need to dive into some completely new world