Tracy Huggins

Graduate Student, Mathematics

University of South Carolina

* The Graduate Colloquium* is a colloquium-style series for mathematics graduate students to share their current ideas with the rest of their colleagues. Interspersed within are talks and panels focused on career development.

Date | Speaker | Title |
---|---|---|

Tuesday 3 Sep |
Keller Vandebogert | Resolutions: What are they and how to use them location: LeConte 412 @ 4:30pm-5:30pm |

Tuesday 10 Sep |
Robert Vandermolen | Why Matrix Factorizations are so Cool location: LeConte 412 @ 4:30pm-5:30pm |

Tuesday 17 Sep |
Alex Duncan | The Ring of Periods location: LeConte 412 @ 4:30pm-5:30pm |

Tuesday 24 Sep |
Demmas Salim | TBA location: LeConte 412 @ 4:30pm-5:30pm |

Tuesday 1 Oct |
Cuyler Warnock | TBA location: LeConte 412 @ 4:30pm-5:30pm |

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** Keller Vandebogert -- **Resolutions: What are they and how to use them

Resolutions/complexes are common objects of study in multiple different areas of math. One reason for this is the many deep algebraic/ geometric/combinatorial invariants that can be read almost immediately from the numbers that appear once a resolution has been computed. In this talk, I will de fi ne free resolutions and give examples of the information to be gained from computing these objects, ranging from the purely algebraic to the geometric (including applications to graphs, because why not?)

** Robert Vandermolen -- **Why Matrix Factorizations are so Cool

Mirror Symmetry was first just an unusual observation from physicists about the symmetry of the Hodge numbers between two completely different fields of mathematics, namely Algebraic and Symplectic geometry. Mirror Symmetry has now flourished into a rich study of curious connections between the first thought to be disparate fields. One interesting conjecture that has arose is the Homological Mirror Symmetry Conjecture by Kontsevich. We will discuss this beautiful conjecture and itâ€™s deep connection to matrix factorizations.

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- Association for Women in Mathematics Chapter
- Departmental Colloquia
- Departmental Seminars
- Pi Mu Epsilon & Gamecock Math Club
- SIAM Student Chapter

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