**Speaker:** Corinna Ulcigrai

We 10.15 - 12.00

Room: Y27H25 Seats: 20

Fr 13.00 - 14.45

Room: Y27H25 Seats: 20

Exercises Introduction to the Geometry of Surfaces

Problem Sheet 1

Problem Sheet 2

Problem Sheet 3

Problem Sheet 4

Problem Sheet 5

Problem Sheet 6

Problem Sheet 7

Problem Sheet 8 (updated)

Problem Sheet 10

Problem Sheet 11 (expanded w.r.t. printed version!)

Problem Sheet 9

Solutions to Ex. Sh. nr 1,2,6,11

Solutions to Ex. Sh. nr 5,7,8,9,10

Solutions to Ex. Sh. nr 3 & 4

Problem Sheet 2

Problem Sheet 3

Problem Sheet 4

Problem Sheet 5

Problem Sheet 6

Problem Sheet 7

Problem Sheet 8 (updated)

Problem Sheet 10

Problem Sheet 11 (expanded w.r.t. printed version!)

Problem Sheet 9

Solutions to Ex. Sh. nr 1,2,6,11

Solutions to Ex. Sh. nr 5,7,8,9,10

Solutions to Ex. Sh. nr 3 & 4

**References:**

For the most part of the course (Euclidean, spherical and hyperbolic geometry and building hyperbolic surfaces via glueings and quotients) we will follow quite closely:

Hyperbolic geometry and in particular Fuchsian groups are also treated in detail in the following lecture notes:

- Caroline Series, Hyperbolic geometry (Lecture notes for course MA 448 in Warwick)
- Charles Walkden, Hyperbolic geometry (Lecture notes for course MATH32052 in Manchester)
- Richard Evan Schwartz, Mostly Surfaces, American Mathematical Society (Student Mathematical Library Series)

For the last part of the course (Teichmueller space and moduli space of flat tori and hyperbolic surfaces) an elementary (but not too detailed) reference is:

Lecture 21 (15 May) Poincare' Theorems and intro to Moduli Spaces;

Module: 08.07.2019 9:00-12:00, Room: Y03G91 Seats: 25, Type: written exam

Repetition: 29.08.2019 9:00-13:00, Room: Y27K36, Type: oral exam

Module: MAT758 Introduction to the Geometry of Surfaces