Schedule and content
Course Schedule:
All lectures are given 10.15-12.00 on Fridays. Room 3721 is located in the department of mathematics at KTH. All other room locations can be found in the time table here
Links to an external site..
On four Fridays 13.15-15.00 Luis Ferroni will have exercise sessions. Other Fridays we will have office hours on zoom 13:00-14:00. See schedule below. The zoom room for the course is https://kth-se.zoom.us/j/65574458896
Links to an external site.
Date | Reading in EC1 | Content | Teacher | Deadlines | Notes | |
2/9 Room E3
|
1.1 - 1.2 |
What is enumerative combinatorics?; Sets and subsets |
Katharina |
Lecture1.pdf Download Lecture1.pdf |
office 13-14 |
|
9/9 Room V1 |
1.2 - 1.3 | (Weak) compositions; multisets; permutations | Katharina | Lecture2.pdf Download Lecture2.pdf |
office 13-14 |
|
16/9 Room M3 |
1.3 - 1.4 |
Permutation statistics |
Katharina | Lecture3.pdf Download Lecture3.pdf |
Exercise 13-15 |
|
23/9 Room FA32 |
1.7, 1.9 | Permutations of multisets, the twelvefold way | Svante | Homework Set 1 handed out | Lecture 4 Download Lecture 4 |
office 13-14 |
30/9 Room FA32 |
Handout Download Handout and parts of 1.5 | Pattern Avoidance | Svante | Lecture 5 Download Lecture 5 |
office 13-14 |
|
7/10 Room V1 |
2.1 - 2.2, 2.7 | Inclusion-Exclusion, the Determinantal Method | Svante | Homework Set 1 due | Lecture 6 Download Lecture 6 |
Exercise 13-15 |
14/10 Room V32 |
3.1 - 3.3 | Posets | Katharina | Lecture7.pdf Download Lecture7.pdf |
office 13-14 |
|
21/10 Room E3 |
3.4 - 3.6 | Distributive Lattices and Incidence Algebras | Katharina | Homework 2 handed out | Lecture8.pdf Download Lecture8.pdf |
office 13-14 |
28/10, 10-12 Room 3721 |
3.7 - 3.10 | The Möbius Function | Svante | Lecture9 Download Lecture9 |
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28/10, 13-15 Room 3721 |
3.7-3.10 continued | Topological Combinatorics (order complex and simplicial complex) | Svante | Lecture10 Download Lecture10 |
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4/11, 10-12 Room M3 |
Exercise session | Luis |
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11/11 Room M3 |
3.11.1-3 | Hyperplane arrangements | Svante | HW 2 due. Group assignments given. | Lecture 11 Download Lecture 11 |
office 13-14 |
18/11 Room E3 |
3.11.4 and handout Download handout | More on hyperplane arrangements | Svante | Lecture 12 Download Lecture 12 |
Exercise 13-15 |
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25/11, 10-12 |
Polytopes Order polytope |
Katharina | Lecture13 Download Lecture13 |
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25/11, 13-15 |
Exercise session | Luis |
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2/12 Room Q1 |
Ehrhart Theory | Katharina |
Homework set 3 handed out. |
Lecture14.pdf Download Lecture14.pdf |
office 13-14 |
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9/12 Room D2 |
More Ehrhart theory | Katharina | Lecture15.pdf Download Lecture15.pdf |
Exercise 13-15 |
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16/12 Room D36 |
Student Presentations | Mandatory Presence. | ||||
12/1 Rooms D41, D42 |
Written Exam | Homework Set 3 due. |