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Péter Pál Pach, The Alon-Jaeger-Tarsi conjecture via group ring identities

September 30 Thursday @ 4:30 PM - 5:30 PM KST

Zoom ID: 934 3222 0374 (ibsdimag)

Speaker

Péter Pál Pach
Budapest University of Technology and Economics
https://www.cs.bme.hu/~ppp/indexen.html

The Alon-Jaeger-Tarsi conjecture states that for any finite field $\mathbb{F}$ of size at least 4 and any nonsingular matrix $M$ over $\mathbb{F}$ there exists a vector $x$ such that neither $x$ nor $Mx$ has a 0 component. In joint work with János Nagy we proved this conjecture when the size of the field is sufficiently large, namely, when $61<|\mathbb F|\ne 79$. In this talk we will discuss previous results and sketch our proof.

Details

Date:
September 30 Thursday
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:

Venue

Zoom ID: 934 3222 0374 (ibsdimag)

Organizer

O-joung Kwon (권오정)
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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