Table of Contents 1. Algebraic geometry in the times of Covid Ivan Cheltsov and Jesus Martinez-Garcia 2. Models of Fano 3-folds Hamid Abban 3. Weighted Ehrhart polynomials and series for the standard simplex Praise Adeyemo 4. Advances in moduli theory Jarod Alper 5. Normal form of a holomorphic Lagrangian submanifold Ekaterina Amerik 6. Koszul modules and applications Marian Aprodu 7. Euler characteristics of aspherical Kähler manifolds Donu Arapura 8. Birational geometry of Calabi-Yau pairs and Cremona transformations Carolina Araujo 9. Enumerating punctured log maps via wall-crossing Hulya Arguz 10. Biregular and birational geometry of rational nodal quartic double solids Artem Avilov 11. Chern character of quantizable sheaves Vladimir Baranovsky and Victor Ginzburg 12. Vector bundles on Fano threefolds and K3 surfaces Arnaud Beauville 13. Cylinders in Del Pezzo surfaces with Du Val singularities Grigory Belousov 14. Approximation of differentiable submanifolds by real algebraic subvarieties Olivier Benoist 15. Kähler-Einstein metrics, Archimedean zeta functions and phase transitions Robert Berman 16. Geometry of 3-dimensional Del Pezzo fibrations in positive characteristic Fabio Bernasconi 17. Geometry of polarised varieties Caucher Birkar 18. On properness of K-moduli spaces and optimal destabilizations Harold Blum 19. Surface with ample canonical bundle and Kuranishi space a nonreduced point Christian Boehning 20. Projective geometry approach to the Jacobian conjecture Alexander Borisov 21. Explicit equations of surfaces of general type Lev Borisov 22. General type results for moduli of hyperkähler varieties Emma Brakkee 23. Geometric structures on spaces of quadratic differentials Tom Bridgeland 24. Extending Tom and Jerry for Fano 3-folds Gavin Brown, Stephen Coughlan and Tom Ducat 25. Supercycles and stable supermaps Ugo Bruzzo and Daniel Hernandez Ruiperez 26. Arcs and singularities Nero Budur 27. Chern–Weil theory and Hilbert–Samuel theorem for semipositive singular toroidal metrics Jose Ignacio Burgos Gil 28. Index 2 Fano 3-folds and double covers Livia Campo 29. Uniqueness of enhancements of triangulated categories Alberto Canonaco, Amnon Neeman and Paolo Stellari 30. On the birational geometry of foliations Paolo Cascini 31. Effective cones of moduli spaces of stable rational curves and blown up toric surfaces Ana-Maria Castravet 32. Nodal surfaces, coding theory, and cubic discriminants Fabrizio Catanese 33. The minimal model program for arithmetic surfaces enriched by a Brauer class Daniel Chan 34. Low dimensional components in the K-moduli of smoothable Fano 3-folds Ivan Cheltsov 35. Remarks on n-folds of type (1,n) Jungkai Chen 36. Singularities on toric fibrations Yifei Chen and Caucher Birkar 37. On the distribution of canonical volumes and moduli spaces of varieties of general type Meng Chen 38. Subadditivity theorem for Okounkov bodies Sung Rak Choi 39. Enumeration of Terracini schemes Ciro Ciliberto 40. Numerical characterization of complex torus quotients Benoit Claudon 41. Slope inequalities and ample cone of KSB moduli spaces Giulio Codogni 42. The cohomology of the moduli space of sheaves on surfaces Izzet Coskun 43. Orbifold quot schemes via the le Bruyn–Procesi theorem Alastair Craw 44. On quadratic points on intersections of two quadrics Brendan Creutz and Bianca Viray 45. Deformations of exterior differential ideals and applications Fernando Cukierman 46. Log minimal model program for Kähler 3-folds Omprokash Das 47. CSCK metrics on rank one spherical Fano fourfolds Thibaut Delcroix 48. K-stability of P^3 blown up along the disjoint union of a twisted cubic curve and a line Elena Denisova 49. Stability of fibrations Ruadhai Dervan 50. Wall crossing for K-moduli spaces of plane curves Kristin DeVleming 51. The bottleneck degree of algebraic varieties Sandra Di Rocco 52. Dynamical filtrations| Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso and De-Qi Zhang 53. Roth's theorem for adelic curves Paolo Dolce and Francesco Zucconi 54. Enumerative geometry, fredholm analysis and moduli spaces of surfaces of general type Simon Donaldson 55. Bounding the complexity of 2-loop Feynman integrals Charles Doran 56. K-stability of P^3 blown up along smooth curves of genus 4 and degree 6 Tiago Duarte Guerreiro 57. Rigidity of affine Brieskorn-Pham threefolds Adrien Dubouloz 58. Birational geometry and cylindricity of Severi-Brauer varieties Adrien Dubouloz, Kento Fujita, Takashi Kishimoto and Takuzo Okada 59. Okawa's theorem and wide subcategories of coherent sheaves on curves Alexey Elagin 60. Mixed Hodge structure decomposition of alexander modules into generalized eigenspaces Eva Elduque 61. Local stability threshold of Del Pezzo surfaces of degree 2 Erroxe Etxabarri Alberdi 62. Rational simple connectedness and the quintic Del Pezzo threefold Andrea Fanelli 63. K3 structures from singular Fano varieties Enrico Fatighenti 64. An overview of homotopy path algebras David Favero 65. Quasi-invariants and free arrangements Misha Feigin 66. The Brasselet-Schurmann-Yokura conjecture on L-classes of singular varieties Javier Fernandez de Bobadilla and Irma Pallares Torres 67. Notes on motivic integration on Berkovich spaces Tommaso de Fernex 68. Counting sheaves by counting curves Soheyla Feyzbakhsh and Richard Thomas 69. On the boundedness of elliptically fibered Calabi-Yau threefolds Stefano Filipazzi 70. Connected algebraic groups acting on Fano fibrations over P^1 Enrica Floris 71. Maximal automorphism groups of surfaces Pascal Fong and Matilde Maccan 72. A canonical Hodge theoretic projective structure on compact Riemann surfaces Paola Frediani 73. On extremal contractions of log canonical pairs Osamu Fujino 74. On the singular loci of higher secant varieties of Veronese embeddings Katsuhisa Furukawa 75. The Bourbaki degree of a plane curve Daniel Futata and Marcos Jardim 76. Compactifications of the moduli space of marked cubic surfaces Patricio Gallardo 77. Intrinsic mirrors for minimal adjoint orbits Elizabeth Gasparim 78. On a generalized Batyrev’s cone conjecture Yoshinori Gongyo 79. Complex curves in hypercomplex nilmanifolds Iulia Gorginian 80. Projective flatness over Klt spaces and characterisation of finite quotients of projective spaces Daniel Greb 81. Distinguishing triangle-free level-one phylogenetic networks using computational algebraic geometry Elizabeth Gross 82. Open FJRW theory and mirror symmetry: a ZAG lecture Mark Gross, Tyler Kelly and Ran Tessler 83. Recent progress in the MMP for 3-folds and 4-folds in char p>0 Christopher Hacon 84. Rationality questions on Seshadri constants Krishna Hanumanthu 85. Log symplectic pairs and mixed Hodge structures Andrew Harder 86. Gaps between lc pairs and Klt pairs in a viewpoint of the minimal model theory Kenta Hashizume 87. Constructing new Q-Fano threefolds using Laurent inversion Liana Heuberger 88. Fano manifolds such that the tangent bundle is (not) big Andreas Hoering 89. Geometric extension Chris Hone and Geordie Williamson 90. An algebro-geometric higher Szemeredi lemma Ehud Hrushovski 91. A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity Fei Hu 92. Torelli problem on logarithmic sheaves Sukmoon Huh 93. Minimal rational curves and 1-flat cone structures Jun-Muk Hwang 94. A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds Shihoko Ishii 95. The McKay correspondence Yukari Ito 96. Shafarevich's conjecture for canonically polarized varieties revisited Ariyan Javanpeykar, Steven Lu, Ruiran Sun and Kang Zuo 97. Symmetries of Fano varieties Lena Ji 98. Minimal log discrepancies in dimension three Chen Jiang 99. Equilateral convex triangulations of RP^2 with three conical points of equal defec Nikita Kalinin 100. 1-dimensional K-moduli spaces of Fano 3-folds Anne-Sophie Kaloghiros 101. A brief survey on stability of tangent bundles on Fano manifolds Akihiro Kanemitsu 102. Are Klt Fano varieties of small volume stably rational? Ilya Karzhemanov 103. New examples of surgery invariant counts in real algebraic geometry Slava Kharlamov 104. Hodge sheaves for singular families Sandor Kovacs 105. Secant varieties of real curves Mario Kummer 106. Sextic double solids Alexandra Kuznetsova 107. On effective cones of rational surfaces Antonio Laface 108. The rational chow rings of M_7, M_8 and M_9 Hannah Larson 109. A Néron-Ogg-Shafarevich criterion for K3 surfaces Chris Lazda 110. Derived categories and motives of moduli spaces of vector bundles on curves Kyoung-Seog Lee 111. Dominant rational maps from a very general hypersurface Yongnam Lee 112. Valuative stability of polarised varieties Eveline Legendre 113. Rational curves on Del Pezzo surfaces in positive characteristic Brian Lehmann 114. Codimension 2 cycles of classifying spaces of low-dimensional algebraic tori Nicole Lemire 115. Locally free twisted sheaves of infinite rank Max Lieblich 116. Rational curves on K3 surfaces Christian Liedtke 117. Automorphisms of projective hypersurfaces Alvaro Liendo 118. Motivic invariants of birational maps Hsueh-Yung Lin Evgeny Shinder 119. A motivic version of topological mirror symmetry Fransois Loeser 120. Poisson and symplectic geometry of the moduli spaces of Higgs bundles Marina Logares 121. On non-rationality of degenerations of Del Pezzo surfaces Konstantin Loginov 122. A conjecture on D algebras Leonid Makar-Limanov 123. Fano threefolds of Picard rank 2 and volume 28 Joseph Malbon 124. Birational involutions of the real projective plane fixing an irrational curve Frederic Mangolte 125. Unirationality of instanton moduli space for small charges Dimitri Markushevich and Alexander Tikhomirov 126. The defect of a cubic threefold Lisa Marquand 127. The determinant of cohomology and moduli of lambda-connections Johan Martens 128. Two remarks on asymptotically log Fano pairs Jesus Martinez-Garcia 129. On K-stability of Calabi-Yau fibrations Hattori Masafumi 130. On the (uni)rationality problem for hypersurfaces Alex Massarenti 131. Transformations of transfinite diameter Sione Ma`u 132. Perverse-Hodge octahedron Mirko Mauri 133. A special rational surface Massimiliano Mella 134. On the top-weight rational cohomology of A_g Margarida Melo 135. Jordan property for automorphism groups Sheng Meng 136. Geometry and arithmetic of equivariant compactifications of the affine space Pedro Montero 137. Special variational Hodge conjecture for toric varieties William Montoya 138. Tropical geometry and phylogenetic diversity Han-Bom Moon 139. Fundamental groups of singularities of the MMP Joaquin Moraga 140. A moduli space in the differential geometry world David Mumford 141. Interview with David Mumford Ivan Cheltsov and Jesus Martinez-Garcia 142. The Kawamata–Viehweg vanishing theorem for schemes Takumi Murayama 143. Minimal exponent and Hodge filtrations Mircea Mustata 144. Inversion of adjunction for quotient singularities Yusuke Nakamura 145. On compatifying moduli and degenerations of K-trivial varieties Yuji Odaka 146. K-stability and birational superrigidity for Fano 3-fold weighted hypersurfaces Takuzo Okada 147. Moduli space of semiorthogonal decompositions Shinnosuke Okawa 148. Stable irrationality of the very general quartic fivefold John Christian Ottem 149. Contact in algebraic and tropical geometry Marco Pacini and Damiano Testa 150. Extended abstract of counting divisorial contractions with centre a cA_n-singularity Erik Paemurru 151. Fine compactified Jacobians of nodal curves Nicola Pagani 152. On polynomial automorphisms commuting with a simple derivation Ivan Pan 153. K-moduli for log Fano complete intersections Theodoros Stylianos Papazachariou 154. Cayley octads, plane quartic curves, Del Pezzo surfaces of degree 2, and double Veronese cones Jihun Park 155. A Castelnuovo-Mumford regularity bound for threefolds with rational singularitie Jinhyung Park 156. Moderately discontinuous algebraic topology and singularities Maria Pe Pereira 157. Generic flexibility of cubic cones Alexander Perepechko 158. Serre functors of semiorthogonal components Alex Perry 159. Deformations of toric singularities and applications to K-moduli of Fano varieties Andrea Petracci 160. Campana points on Fano varieties Marta Pieropan 161. On canonical threefolds near the noether line Roberto Pignatelli 162. K-stability and space sextic curves of genus three Antoine Pinardin 163. On local-global principles and Galois cohomology Alena Pirutka 164. Conic-line arrangements in the complex projective plane Piotr Pokora 165. Hyperelliptic limits of quadrics through canonical curves and the super-Schottky locus Alexander Polishchuk 166. General elephants for 3-fold extremal contractions Yuri Prokhorov 167. Rationally connected rational double covers of primitive Fano varieties Aleksandr Pukhlikov 168. Singularities and divisors in the moduli space of surfaces Julie Rana 169. Sheaf counting of Hilbert schemes of points on C^4 Jorgen Rennemo 170. Wall-crossing pathologies in three dimensions Fatemeh Rezaee 171. K-polystability of smooth Fano SL_2-threefolds Jack Rogers 172. Hodge-Riemann classes and schur polynomials Julius Ross 173. The splendour of asymptotically log Del Pezzos Yanir Rubinstein 174. Smoothing toroidal crossing Fano 3-folds Helge Ruddat 175. An overview on mordell–Weil rank jumps for fibers of elliptic surfaces Cecilia Salgado 176. Blow-ups with log canonical singularities Gregory Sankaran 177. On birational boundedness of some Calabi–Yau hypersurfaces Taro Sano 178. Equivariant solidity of the three-dimensional projective space Arman Sarikyan 179. Near-rationality properties of norm varieties Anand Sawant 180. Generalized hyperpolygons and applications Laura Schaposnik 181. Equality in the Bogomolov-Miyaoka-Yau inequality in the non-general type case Stefan Schreieder 182. Rational curves on Enriques surfaces, but only few Matthias Schuett 183. Cohomology of the moduli of Higgs bundles and the Hausel-Thaddeus conjecture Junliang Shen 184. Survey of the article on Atiyah class and sheaf counting on local Calabi-Yau fourfolds Artan Sheshmani 185. Automorphism groups of complex elliptic surfaces Constantin Shramov 186. Lebrun-Salamon conjecture from the effective nonvanishing for Fano manifolds Robert Smiech 187. Partial order on involutive permutations and double Schubert cells Evgeny Smirnov 188. Geometric aspects of Kähler-Einstein metrics on Klt pairs: a remark on optimal Bogomolov-Miyaoka-Yau inequality Cristiano Spotti 189. Weak Del Pezzo surfaces with global vector fields Claudia Stadlmayr 190. Local volumes of singularities and the mahler conjecture for convex bodies Hendrik Suess 191. Higher order minimal families of rational curves on Fano manifolds Taku Suzuki 192. An O-acyclic variety of even index Fumiaki Suzuki 193. The Mukai model of M_7 David Swinarski 194. Local effectivity in projective spaces Tomasz Szemberg 195. Fermat type arrangements and the containment problem Justyna Szpond 196. Birational properties of base spaces of smooth projective families of good minimal models Behrouz Taji 197. Key varieties for prime Q-Fano threefolds of codimension 4 Hiromichi Takagi 198. Deformations of F-pure and F-regular singularities Shunsuke Takagi 199. On Mori fibre spaces in positive characteristic Hiromu Tanaka 200. Rational curves on Fano threefolds Sho Tanimoto 201. Delta invariants of quasi-smooth hypersurfaces Luca Tasin 202. Real structures on almost homogeneous varieties Ronan Terpereau 203. Mirror symmetry for fibrations and degenerations Alan Thompson 204. On a logarithmic version of a theorem of Enriques Sofia Tirabassi 205. Equivariant birational types Yuri Tschinkel 206. Vector fields on canonically polarized surfaces Nikos Tziolas 207. Noncommutative Del Pezzo surfaces Kazushi Ueda 208. Exceptional collections on Σ_2 Hokuto Uehara 209. Counts of secant planes to varieties, degenerations, and universal polynomials Mara Ungureanu 210. Actions of Cremona groups on CAT(0) cube complexes Christian Urech 211. Artin-Mumford counterexample, with generalizations, via Enriques surfaces Alessandro Verra 212. Higher Fano manifolds Nivedita Viswanathan 213. Global Brill-Noether theory over the Hurwitz space Isabel Vogt 214. Positivity of the second exterior power of the tangent bundles Kiwamu Watanabe 215. Pinched handle decompositions of finite simplicial complexes Jean-Yves Welschinger 216. Concurrent exceptional curves on Del Pezzo surfaces of degree one and torsion points on elliptic fibrations Rosa Winter 217. Rational maps via C^*-actions Jaroslaw Wisniewski 218. On weighted Del Pezzo hypersurfaces Joonyeong Won 219. Equivariant birational geometry of linear actions Kaiqi Yang 220. Equivariant birational rigidity: around one question of Cheltsov and Kollár Egor Yasinsky 221. Stringy motives and local fundamental groups of Klt surface singularities in arbitrary characteristic Takehiko Yasuda 222. Degenerations, fibrations and mirror symmetry Fenglong You 223. Stability of pencils of plane curves Aline Zanardini 224. Jordan properties of automorphism groups of algebraic varieties and complex manifolds Yuri Zarhin 225. Basis divisors and balanced metrics Kewei Zhang 226. The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds Zheng Zhang 227. Equivariant geometry of singular cubic threefolds Zhijia Zhang 228. Topological SYZ fibrations with discriminant in codimension 2 Ilia Zharkov 229. Compact Kähler threefolds with the action of an abelian group of maximal dynamical rank Guolei Zhong 230. Equivariant K-stability under finite group action Ziwen Zhu 231. K-stability of Fano varieties via admissible flags Ziquan Zhuang 232. Unbounded connected algebraic subgroups of birational transformations Sokratis Zikas 233. Finite quotients of Cremona groups Susanna Zimmermann

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