The following is a preliminary list of the lecture in the course and topics covered each time. Lectures are on Tuesdays 8.15-10.00.

Given the current high spread of omicron and the recommendations to diminish risk of spreading the virus, we have decided that the first lecture will be given over zoom. But I will sit in the assigned room Q15 and give the lecture. Those of you that want to come to the lecture room are welcome to do so.

Zoom room: https://kth-se.zoom.us/j/63098396988

Course literature will be the following three books that should all be available online to KTH and SU students via the library..

Lectures on Polytopes, Günter Ziegler, Springer Verlag. GTM (2012)
Computing the continuous discretely, (BR) Matthias Beck and Sinai Robins, Springer UTM, (2015)
Triangulations, (DRS) Jesús A. De Loera, Jörg Rambau and Francisco Santos, Springer AACIM, Volume 25 (2010)

Lecture	Day	Room	Content	Literature	Lecturer	Preliminary	Notes
1	18/1	Q15	Introduction and Examples of Polytopes	Ziegler, chap 0	Svante		Slides 1
2	25/1	D41	More examples and Fourier-Motzkin elimination, Homogenization	Ziegler chap 0-1	Svante		Slides 2
3	1/2	D41	Carathéodory's thm, Faces of a polytope.	Ziegler chap 1-2	Svante		Slides 3
4	8/2	Q15	Face lattice, simplical polytopes	Ziegler chap 2	Svante		Slides 4
5	15/2	Q17	Shellability	Ziegler chap 8	Alex		Slides 5
6	22/2	D41	Brugesser-Mani and h-Vectors	Ziegler chap 8	Alex	HW1 handed out	Slides 6
7	1/3	V21	Dehn-Sommerville and UBT	Ziegler chap 8	Alex		Slides 7
8	8/3	3721	Kruskal-Katona and g-Theorems	Ziegler chap 8	Alex	HW1 due	Slides 8
9	15/3	3721	Polytopes and Linear Programming		Benjamin	Solutions HW1	Slides 9
10	22/3	D41	Examples of Triangulations	DRS 2.2	Benjamin		Slides 10
11	29/3	D41	Secondary Polytopes	DRS 5.1	Benjamin	HW2 handed out	Slides 11
12	5/4	V01	More on Secondary Polytopes	DRS 5.2	Benjamin		Slides 12
13	12/4	E52	Ehrhart polynomial	BR 2.2,2.3,3.3,3.4	Lorenzo	HW2 due	Slides 13
14	26/4	D41	Stanley nonnegativity and reciprocity	BR 3.5,4.1,4.2	Lorenzo	HW2 solutions	Slides 14
15	3/5	D41	The degree of a polytope, Gorenstein and reflexive polytopes	BR 4.3, 4.4	Lorenzo		Slides 15
16	10/5	D41	Gorenstein and reflexive polytopes (continued). Magic squares	BR 4.4, 6.1-6.3	Lorenzo	HW3 handed out	Slides 16
	10/5	3721	PhD presentations 13-15	Petter Restadh Danai Deligeorgaki			Slides Petter
	17/5	3721 3721	PhD - presentations 8-10 and 13-15	Joel Frisk Gärtner Joannes Vermant Björn Martinsson Francesca Tombari			Slides Joel Slides Björn
	24/5	3721	PhD presentations 13-16	Philippe Moreillon Leo Saud Maia Leite Aryaman Jal		HW3 due	Slides Leo

Exam	7/6