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Doowon Koh (고두원), On the cone restriction conjecture in four dimensions and applications in incidence geometry

Tuesday, February 9, 2021 @ 4:30 PM - 5:30 PM KST

Room B232, IBS (기초과학연구원)


Doowon Koh (고두원)
Department of Mathematics, Chungbuk National University

Main purpose of this talk is to introduce a connection between restriction estimates for cones and point-sphere incidence theorems in the finite field setting. First, we review the finite field restriction problem for cones and address new results on the conical restriction problems. In particular, we establish the restriction conjecture for the cone in four dimensions. Second, we study how to apply the conical restriction results to the point-sphere incidence bounds. As a consequence, we obtain sharp point-sphere incidence bounds when sphere sets are not too big.


Tuesday, February 9, 2021
4:30 PM - 5:30 PM KST
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Room B232
IBS (기초과학연구원)


Sang-il Oum (엄상일)
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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
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