Written to honor the 80th birthday of William Fulton, the articles collected in these volumes present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include: commutative algebra, representation theory, tropical geometry, moduli spaces, Schubert calculus, quantum cohomology. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
Written to honor the 80th birthday of William Fulton, the articles in these volumes present substantial contributions to algebraic geometry, particularly combinatorial algebraic geometry and intersection theory. Covering a wide range of topics of current interest, the book will appeal to graduate students and established researchers in the field.
Papildus informācija
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
1. Positivity of SegreMacPherson classes Paolo Aluffi, Leonardo C.
Mihalcea, Jörg Schürmann and Changjian Su;
2. BrillNoether special cubic
fourfolds of discriminant 14 Asher Auel;
3. Automorphism groups of almost
homogeneous varieties Michel Brion;
4. Topology of moduli spaces of tropical
curves with marked points Melody Chan, Sųren Galatius and Sam Payne;
5.
Mirror symmetry and smoothing Gorenstein toric affine 3-folds Alessio Corti,
Matej Filip and Andrea Petracci;
6. Vertex algebras of CohFT-type Chiara
Damiolini, Angela Gibney and Nicola Tarasca;
7. The cone theorem and the
vanishing of Chow cohomology Dan Edidin and Ryan Richey;
8. CayleyBacharach
theorems with excess vanishing Lawrence Ein and Robert Lazarsfeld;
9.
Effective divisors on Hurwitz spaces Gavril Farkas;
10. Chow quotients of
Grassmannians by diagonal subtori Noah Giansiracusa and Xian Wu;
11. Quantum
Kirwan for quantum K-theory E. Gonzįlez and C. Woodward;
12. Toric varieties
and a generalization of the Springer resolution William Graham;
13. Toric
surfaces, linear and quantum codes secret sharing and decoding Johan P.
Hansen;
14. Stability of tangent bundles on smooth toric Picard-rank-2
varieties and surfaces Milena Hering, Benjamin Nill and Hendrik Süß;
15.
Tropical cohomology with integral coefficients for analytic spaces Philipp
Jell;
16. Schubert polynomials, pipe dreams, equivariant classes, and a
co-transition formula Allen Knutson;
17. Positivity certificates via integral
representations Khazhgali Kozhasov, Mateusz Michaek and Bernd Sturmfels;
18.
On the coproduct in affine Schubert calculus Thomas Lam, Seung Jin Lee and
Mark Shimozono;
19. BostConnes systems and F1-structures in Grothendieck
rings, spectra, and Nori motives Joshua F. Lieber, Yuri I. Manin, and Matilde
Marcolli;
20. Nef cycles on some hyperkähler fourfolds John Christian Ottem;
21. Higher order polar and reciprocal polar loci Ragni Piene;
22.
Characteristic classes of symmetric and skew-symmetric degeneracy loci
Sutipoj Promtapan and Richįrd Rimįnyi;
23. Equivariant cohomology, Schubert
calculus, and edge labeled tableaux Colleen Robichaux, Harshit Yadav and
Alexander Yong;
24. Galois groups of composed Schubert problems Frank
Sottile, Robert Williams and Li Ying;
25. A K-theoretic Fulton class Richard
P. Thomas.
Paolo Aluffi is Professor of Mathematics at Florida State University. He earned a Ph.D. from Brown University with a dissertation on the enumerative geometry of cubic plane curves, under the supervision of William Fulton. His research interests are in algebraic geometry, particularly intersection theory and its application to the theory of singularities and connections with theoretical physics. David Anderson is Associate Professor of Mathematics at The Ohio State University. He earned his Ph.D. from the University of Michigan, under the supervision of William Fulton. His research interests are in combinatorics and algebraic geometry, with a focus on Schubert calculus and its applications. Milena Hering is Reader in the School of Mathematics at the University of Edinburgh. She earned a Ph.D. from the University of Michigan with a thesis on syzygies of toric varieties, under the supervision of William Fulton. Her research interests are in algebraic geometry, in particular toric varieties, Hilbert schemes, and connections to combinatorics and commutative algebra. Mircea Musta is Professor of Mathematics at the University of Michigan, where he has been a colleague of William Fulton for over 15 years. He received his Ph.D. from the University of California, Berkeley under the supervision of David Eisenbud. His work is in algebraic geometry, with a focus on the study of singularities of algebraic varieties. Sam Payne is Professor in the Department of Mathematics at the University of Texas at Austin. He earned his Ph.D. at the University of Michigan, with a thesis on toric vector bundles, under the supervision of William Fulton. His research explores the geometry, topology, and combinatorics of algebraic varieties and their moduli spaces, often through relations to tropical and nonarchimedean analytic geometry.
