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Full Description
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. 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.
Contents
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 Michałek and Bernd Sturmfels; 18. On the coproduct in affine Schubert calculus Thomas Lam, Seung Jin Lee and Mark Shimozono; 19. Bost-Connes 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 Richárd Rimányi; 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.
