### Algebra & Combinatorics Seminar

Symmetric abelian group-invariant Steiner quadruple systems

Mixed characteristic local model

The Tate-Shafarevich groups of multinorm-one tori

Rank-2 Motivic Local Systems

Reduction of quartic curves

A p-adic Simpson correspondence for rigid analytic varieties

Derived de Rham cohomology and p-adic Hodge theory

Integral p-adic Hodge theory of formal schemes in low ramification

Some examples and results on integral p-adic Hodge filtrations

Prismatic cohomololgy and improvement on Breuil-Caruso theory

On arithmetic Breuil-Kisin-Fargues modules and their moduli

Height formulas over Shimura curves

New constructions of optimal cyclic (r,δ) locally repairable codes from their zeros

Boundedness of ($\epsilon, n$)-complements for surfaces （I, II, III）