What I learned today

  GRM Base-T: The Mathematical and Philosophical Legacy of Alexander Grothendieck — 2026 Prologue — Grothendieck Before the Named Mathematics 0. The Reconstruction Problem 0.1 Why Grothendieck cannot be reduced to algebraic geometry 0.2 SOURCE ≠ REPRESENTATION ≠ READOUT 0.3 Mathematical objects as reconstructible relational closures 0.4 From solving problems to replacing the language containing the problems 0.5 The repeated Grothendieck move: failure → enlarge carrier → weaken primitive object → strengthen relations → transport → reconstruct 0.6 Local structure versus global authority 0.7 Universal properties as target-erased definitions 0.8 Failure as retained mathematical information 0.9 Comparison without premature identification 0.10 The GRM Base-T reconstruction spine: DISTINCTION → CARRIER → RELATION → JOINT → BOUNDARY → TRANSPORT → GLOBALIZATION → RESIDUE → LIFTBACK → RECONSTRUCTION PART I — THE FIRST GENERATOR: STRUCTURE SURVIVES REPRESENTATION CHANGE 1. Grothendieck’s Fort...

  EGA ⊗ SGA ⊗ FGA from GRM Base-T A Source-First Reconstruction of the Grothendieck Program Prologue — The Wrong Way to Read Grothendieck 0.1 TARGET_ERASE : erase “modern algebraic geometry” as the target 0.2 Why schemes, topoi, derived categories, motives and cohomology are downstream representations 0.3 SOURCE ≠ REPRESENTATION ≠ READOUT 0.4 Geometry before coordinates; relation before classification 0.5 The Grothendieck move: weaken objects, strengthen transport 0.6 Local validity versus global assembly 0.7 Gluing failure as mathematical information 0.8 Quotienting versus information destruction 0.9 Reconstruction as the invariant connecting EGA, SGA and FGA 0.10 GRM Base-T execution spine: DISTINCTION → CARRIER → RELATION → NATIVE JOINT → BOUNDARY → TRANSPORT → GLOBALIZATION → RESIDUE → LIFTBACK → RECONSTRUCTION BOOK I — FGA: GEOMETRY BECOMES FUNCTORIAL Part I — Before the Scheme 1. The Failure of Classical Algebraic Varieties 1.1 Affine and projective varieties as representatio...

  A Geometry of Reconstruction and Transport Forgetting, Rigidity, Deformation, Comparison, Residue, and the Recovery of Identity From Galois Rigidity to Teichmüller Deformation, Anabelian Reconstruction, IUT, Gauge Geometry and Quantum Representation The governing base-T is: SOURCE → CONTROLLED FORGETTING → RELATIONAL SHADOW → ADMISSIBLE TRANSPORT → COMPARISON → RESIDUE → RECONSTRUCTION → IDENTITY REPLAY with the central definition: Geometry is the minimal structure governing what may be forgotten, transported, identified, and kept distinct such that source identity remains reconstructible. This reorganizes around the actual generator rather than around historical subject labels. The historical evidence supporting the spine is Grothendieck’s reconstruction from covering symmetries, the Neukirch–Uchida reconstruction paradigm, Mochizuki’s move to prime-local information, and IUT’s deliberate separation of additive and multiplicative structure. Preface — Geometry After Direct Access...

Fujian kinship teams in Southern Thailand and Penang http://digiverse.chula.ac.th/Info/item/dc:64104  The Chula record identifies this as Supamas Engchuan’s 1994 M.A. linguistics thesis, 155 leaves, based on interviews in Krabi, Trang, Phang-nga, Phuket and Penang. Its analytical core is componential analysis of basic and marriage-related Hokkien kin terms across six contrasts: generation, lineality/blood relation, relative age, paternal/maternal link, sex and marriage. ( Chula Digital Collections ) Because DigiVerse exposes the nine files ( front , ch1–ch7 , back ) but its public HTML does not expose their internal headings, the following is a detailed reconstructed TOC , source-grounded but not presented as a verbatim transcription of the thesis's printed contents. Table of Contents Fujian/Hokkien Kinship Terms in Southern Thailand and Penang — Supamas Engchuan, 1994 Front Matter — Supamas_en_front.pdf Title page Thesis approval/certification Thai abstract English abstract Acknow...