자료유형  

 학위논문

Control Number  

0017161332

International Standard Book Number  

9798382843681

Dewey Decimal Classification Number  

510

Main Entry-Personal Name  

Hafner, Elena Sarah.

Publication, Distribution, etc. (Imprint  

[S.l.] : Cornell University., 2024

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Physical Description  

89 p.

General Note  

Source: Dissertations Abstracts International, Volume: 85-12, Section: B.

General Note  

Advisor: Meszaros, Karola.

Dissertation Note  

Thesis (Ph.D.)--Cornell University, 2024.

Summary, Etc.  

요약First introduced by Lascoux and Schutzenberger in 1982, Grothendieck polynomials are a family of polynomials indexed by permutations in Sn. In this thesis, we study the supports of Grothendieck polynomials associated to vexillary (2143-avoiding) permutations. We use bumpless pipe dreams to show several nice properties of the supports of vexillary Grothendieck polynomials, addressing special cases of conjectures of Meszaros, Setiabrata, and St. Dizier. Additionally, through joint work with Meszaros, Setiabrata, and St. Dizier, we showthat the homogenized Grothendieck polynomial associated to any vexillary per-mutation is M-convex. To accomplish this, we introduce bubbling diagrams and show that they compute the supports of vexillary Grothendieck polynomials.

Subject Added Entry-Topical Term  

Mathematics.

Subject Added Entry-Topical Term  

Theoretical mathematics.

Index Term-Uncontrolled  

Grothendieck , Alexander

Index Term-Uncontrolled  

Vexillary Grothendieck polynomials

Index Term-Uncontrolled  

Permutations

Index Term-Uncontrolled  

Polytopes

Index Term-Uncontrolled  

Bumpless pipe dreams

Added Entry-Corporate Name  

Cornell University Mathematics

Host Item Entry  

Dissertations Abstracts International. 85-12B.

Electronic Location and Access  

로그인을 한후 보실 수 있는 자료입니다.

Control Number  

joongbu:658387