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Facets of Algebraic Geometry

Facets of Algebraic Geometry

Facets of Algebraic Geometry

A Collection in Honor of William Fulton's 80th Birthday
Volume 2:
Paolo Aluffi, Florida State University
David Anderson, Ohio State University
Milena Hering, University of Edinburgh
Mircea Mustaţă, University of Michigan, Ann Arbor
Sam Payne, University of Texas, Austin
April 2022
2
Available
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9781108792516
£62.99
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    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.

    • Covers a wide range of topics in modern algebraic geometry reflecting William Fulton's broad range of interests
    • Written by a combination of well-established researchers and rising stars of a new generation of mathematicians
    • Suitable for graduate students and researchers in algebraic geometry and related fields

    Product details

    April 2022
    Paperback
    9781108792516
    408 pages
    229 × 151 × 22 mm
    0.57kg
    Available

    Table of 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 MichaÅ‚ek 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.
      Contributors
    • Milena Hering, Benjamin Nill, Hendrik Süß, Philipp Jell, Allen Knutson, Khazhgali Kozhasov, Mateusz MichaÅ‚ek, Bernd Sturmfels, Thomas Lam, Seung Jin Lee, Mark Shimozono, Joshua F. Lieber, Yuri I. Manin, Matilde Marcolli, John Christian Ottem, Ragni Piene, Sutipoj Promtapan, Richárd Rimányi, Colleen Robichaux, Harshit Yadav, Alexander Yong, Frank Sottile, Robert Williams, Li Ying, Richard P. Thomas

    • Editors
    • Paolo Aluffi , Florida State University

      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 , Ohio State University

      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 , University of Edinburgh

      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 Mustaţă , University of Michigan, Ann Arbor

      Mircea Mustaţă 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 , University of Texas, Austin

      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.