Mean Curvature Flow and Related Topics

Copenhagen skyline

University of Copenhagen
7-11 March 2022

This hybrid masterclass/workshop aims at introducing advanced students to both some basic ideas and to the most recent breakthroughs in the field of mean curvature flow, along with central aspects of related relevant areas, a fundamental research direction at the intersection of Geometry, Topology and Analysis, with deep connections to the theories of minimal surfaces and elliptic and parabolic Partial Differential Equations.

For students, we expect that participation in person and doing the related course work can give 2.5 ECTS (by application).

Participation is free of charge.

You can either participate in person 🇩🇰 or online 🌎. 

 

 

Book of abstracts: Abstracts_MCF_GeoTop_March_2022.pdf

Mini-Course Lecturers:

  • Or Hershkovits (Hebrew U) 🇩🇰
    Title: Mean curvature flows asymptotic to cylinders.
    Abstract:     The first two talks in this mini course will constitute a crash course in mean curvature flow, which should be approachable to anyone with a basic knowledge in differential geometry, and which hopefully will nevertheless be of some interest to PhD students working in the field. The last two talks will concern the classification of ancient mean curvature asymptotic to the cylinder in R3. I hope to be able to convey how linear analysis, in addition to coarse geometric information, can be used in order to "read off" geometric properties of the solution. These last two talks will be based on Section 3, 4.1, 4.2 and 5 of the paper "Ancient low entropy flows, mean convex neighborhoods, and uniqueness" written jointly with Kyeongsu Choi and Robert Haslhofer.

  • Francisco “Paco” Martín (U Granada) 🌎
    Title: Some Morse theory for minimal surfaces in 3-manifolds.
    Abstract: In this mini-course, we will present some facts about Morse theory of minimal surfaces
    in 3-manifolds that are useful in order some local geometric properties of minimal surfaces.
    These results have interesting applications, not only in the study of minimal surfaces in Euclidean 3-space,
    but also in improving our knowledge about the local behavior of solitons of the mean curvature flow,
    like shrinkers and translators.

Research Talk Invited Speakers in Copenhagen: 🇩🇰

Research Talk Invited Speakers in Hybrid Mode: 🌎

 

 

 

 

 

 

 

@KDVS: Monday sessions will take place at the Royal Danish Academy of Sciences and Letters (KDVS), H.C. Andersens Boulevard 35, DK-1553 København V. (Downtown Copenhagen, across from Glyptoteket, close to the Tivoli Gardens.)

@HCØ: Tuesday, Wednesday and Friday sessions will take place at the H. C. Ørsted Institute, Universitetsparken 5, 2100 København Ø.

@ZOO: Thursday sessions will take place at Zoology in Building 1, Auditorium A, Universitetsparken 15, 2100 København Ø.

🌎: Virtual talk by remote speaker.

Time
(Zone: CET)		 Mon 7/3
@KDVS		 Tue 8/3
@HCØ		 Wed 9/3
@HCØ
 Thu 10/3
@ZOO/@HCØ		 Fri 11/3
@HCØ
9:30-10

Registration &
Coffee/tea ☕
& croissants 🥐
Coffee/tea ☕

Coffee/tea ☕
10:00-10:45
Martín 🌎		 Q&A/problems for juniors
04.4.20
Mramor
Aud 03 (HCØ)
11:00-11:45
Martín 🌎
Q&A/problems for juniors
04.4.20		 Lotay 🌎
Aud 03 (HCØ)
12:00-13:15
Lunch 🍔
Lunch 🍔
Lunch 🍔
Lunch 🍔
Lunch 🍔
13:15-14:00
Hershkovits
Free afternoon
🏖️ 
Martín 🌎
Aud 03 (HCØ)		 Martín 🌎
Aud 04 (HCØ)

Khan
Aud 03 (HCØ)
14:15-15:00
Hershkovits
Hershkovits
Aud 03 (HCØ)
Hershkovits
Aud A (Zoo)

15:00-15:30 Coffee/tea ☕ Coffee/tea ☕ Coffee/tea ☕
15:30-16:15
Rimoldi 🌎
Zhang 
🌎
Aud 03 (HCØ)
Muhammad
Aud A (Zoo)
16:30-17:15
Chodosh 🌎
Markvorsen
Aud 03 (HCØ)
Ling
Aud A (Zoo)
Evening 17:30 Reception
🍽️🍷		 18:00 Conference Dinner
🍽️🍷

🌎: Virtual talk by remote speaker.

Book of abstracts:
Abstracts_MCF_GeoTop_March_2022.pdf

 

 

 

 

 

 

 

 

 

The Masterclass will take place at various locations near The Department of Mathematical Sciences, University of Copenhagen. See detailed instructions on how to reach Copenhagen and the department.

Monday sessions will take place at the Royal Danish Academy of Sciences and Letters (KDVS), H.C. Andersens Boulevard 35, DK-1553 København V. (Downtown Copenhagen, across from Glyptoteket, close to the Tivoli Gardens.)
Tuesday, Wednesday and Friday sessions will take place at the H. C. Ørsted Institute, Universitetsparken 5, 2100 København Ø.
Thursday sessions will take place at Zoology (Zoo) in Building 1, Auditorium A, Universitetsparken 15, 2100 København Ø.

Tickets and passes for public transportation can be bought at the Copenhagen Airport and every train or metro station. You can find the DSB ticket office on your right-hand side as soon as you come out of the arrival area of the airport. DSB has an agreement with 7-Eleven, so many of their shops double as selling points for public transportation.

A journey planner in English is available.

More information on the "find us" webpage.

 

 

 

 

 

 

We kindly ask the participants to arrange their own accommodation.

We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers rooms with a kitchen. Other inexpensive alternatives are CabInn, which has several locations in Copenhagen: the Hotel City (close to Tivoli), Hotel Scandinavia (Frederiksberg, close to the lakes), and Hotel Express (Frederiksberg) are the most convenient locations; the latter two are 2.5-3 km from the math department. Somewhat more expensive – and still recommended – options are Hotel Nora and  Ibsen's Hotel.

An additional option is to combine a stay at the CabInn Metro Hotel with a pass for Copenhagen public transportation (efficient and reliable). See information about tickets & prices.

 

 

 

 

 

 

 

 

 

 

 

 

Registration ended 2 March 2022 at 12 Noon CET. Please contact Jan Tapdrup jt@math.ku.dk in case of questions.

 

Registration is closed. Please contact jt@math.ku.dk in case of questions.

 

 

 

 

 

 

 

 

 

 

 

Scientific Programme:

Administration: Jan Tapdrup, email: jt@math.ku.dk, phone (+45) 24 87 36 85