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- FIELD
- Math: HCMC
- DATE
-
May 07 (Wed), 2025
- TIME
- 16:30 ~ 17:30
- PLACE
- 수림(204)
- SPEAKER
- Han, Jong In
- HOST
- Park, Hyeonjun
- INSTITUTE
- 수학부
- TITLE
- [HG_AG] Recursive Koszul flattenings of determinant and permanent tensors
- ABSTRACT
- We investigate new lower bounds on the tensor rank of the determinant and the permanent tensors via recursive usage of the Koszul flattening method introduced by Landsberg-Ottaviani and Hauenstein-Oeding-Ottaviani-Sommese. Our lower bounds on the rank of the determinant tensor of order n completely separate the determinant and the permanent tensors by their tensor ranks. Furthermore, we determine the exact tensor ranks of the determinant tensor of order 4 and the permanent tensor of order 4 over arbitrary field of characteristic ≠ 2.
- FILE
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