Introduction to convex real projective manifolds and orbifolds

분야Field	Math Colloquium
날짜Date	2019-04-26 ~ 2019-04-26	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host	오용근
연사Speaker	Suhyoung Choi	소속Affiliation	KAIST
TOPIC	Introduction to convex real projective manifolds and orbifolds
소개 및 안내사항Content	1부 Title: Introduction to convex real projective manifolds and orbifolds Abstract: We will introduce various basic definitions of geometric structures on manifolds and orbifolds, popularized by Thurston and Goldman. Then we survey old results on convex real projective manifolds by Kuiper, Koszul, Benzecri, Vinberg and so on, and then we progress to more recent work by Goldman, Benoist, Cooper-Long-Thistlethwaite, and so on. 2부 Title: Deformations of convex real projective structures on Coxeter orbifolds Abstract: We will introduce the groundbreaking work of Vinberg on convex real projective structures on Coxeter orbifolds. Then we cover the work of Benoist on convex real projective orbifolds which gives us an Ehresmann-Thurston-Weil principle of these geometric structures. We then explain the orderability and weak orderability of Coxeter orbifolds that were investigated by Choi, Lee, and Marquis yielding us some flexibility of convex real projective structures on Coxeter orbifolds.

학회명Field	Introduction to convex real projective manifolds and orbifolds
날짜Date	2019-04-26 ~ 2019-04-26	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host	오용근
소개 및 안내사항Content	1부 Title: Introduction to convex real projective manifolds and orbifolds Abstract: We will introduce various basic definitions of geometric structures on manifolds and orbifolds, popularized by Thurston and Goldman. Then we survey old results on convex real projective manifolds by Kuiper, Koszul, Benzecri, Vinberg and so on, and then we progress to more recent work by Goldman, Benoist, Cooper-Long-Thistlethwaite, and so on. 2부 Title: Deformations of convex real projective structures on Coxeter orbifolds Abstract: We will introduce the groundbreaking work of Vinberg on convex real projective structures on Coxeter orbifolds. Then we cover the work of Benoist on convex real projective orbifolds which gives us an Ehresmann-Thurston-Weil principle of these geometric structures. We then explain the orderability and weak orderability of Coxeter orbifolds that were investigated by Choi, Lee, and Marquis yielding us some flexibility of convex real projective structures on Coxeter orbifolds.

성명Field	Introduction to convex real projective manifolds and orbifolds
날짜Date	2019-04-26 ~ 2019-04-26	시간Time	15:50 ~ 18:00
소속Affiliation	KAIST	초청자Host	오용근
소개 및 안내사항Content	1부 Title: Introduction to convex real projective manifolds and orbifolds Abstract: We will introduce various basic definitions of geometric structures on manifolds and orbifolds, popularized by Thurston and Goldman. Then we survey old results on convex real projective manifolds by Kuiper, Koszul, Benzecri, Vinberg and so on, and then we progress to more recent work by Goldman, Benoist, Cooper-Long-Thistlethwaite, and so on. 2부 Title: Deformations of convex real projective structures on Coxeter orbifolds Abstract: We will introduce the groundbreaking work of Vinberg on convex real projective structures on Coxeter orbifolds. Then we cover the work of Benoist on convex real projective orbifolds which gives us an Ehresmann-Thurston-Weil principle of these geometric structures. We then explain the orderability and weak orderability of Coxeter orbifolds that were investigated by Choi, Lee, and Marquis yielding us some flexibility of convex real projective structures on Coxeter orbifolds.

성명Field	Introduction to convex real projective manifolds and orbifolds
날짜Date	2019-04-26 ~ 2019-04-26	시간Time	15:50 ~ 18:00
호실Host		인원수Affiliation	Suhyoung Choi
사용목적Affiliation	오용근	신청방식Host	KAIST
소개 및 안내사항Content	1부 Title: Introduction to convex real projective manifolds and orbifolds Abstract: We will introduce various basic definitions of geometric structures on manifolds and orbifolds, popularized by Thurston and Goldman. Then we survey old results on convex real projective manifolds by Kuiper, Koszul, Benzecri, Vinberg and so on, and then we progress to more recent work by Goldman, Benoist, Cooper-Long-Thistlethwaite, and so on. 2부 Title: Deformations of convex real projective structures on Coxeter orbifolds Abstract: We will introduce the groundbreaking work of Vinberg on convex real projective structures on Coxeter orbifolds. Then we cover the work of Benoist on convex real projective orbifolds which gives us an Ehresmann-Thurston-Weil principle of these geometric structures. We then explain the orderability and weak orderability of Coxeter orbifolds that were investigated by Choi, Lee, and Marquis yielding us some flexibility of convex real projective structures on Coxeter orbifolds.