The actual image dimensions are not always as important as the image aspect ratio in the Discovery Summit design becuase in most cases images will be scaled proportionally to fit their containers. However, there are minimum sizes that should be used to avoid images needing to be scaled up, which will typically result in a blurry looking image.
Unless noted otherwise, images should be in JPG format. Try to keep the files sizes to under 200kb if possible. The resolution is typically more important than the compression level, so images can be compressed quite a bit in most scenarios. In Photoshop, set the compression/quality to around 40%.
Header Photo:
Aspect Ratio - 2.28 x 1
Minimum dimensions - 1920 x 843px
Recommended dimensions - 2500 x 1097px

Footer Photo:
Aspect Ratio - 1.68 x 1
Minimum dimensions - 1920 x 1140px
Recommended dimensions - 2500 x 1488px

Featured Block Photos (large):
Aspect Ratio - 1.54 x 1
Minimum dimensions - 880 x 570px
Recommended dimensions - 1760 x 858px

Featured Block Photos (small):
Aspect Ratio - .65 x 1 (1 x 1.54)
Minimum dimensions - 570 x 880px
Recommended dimensions - 858 x 1760px

Full width backgrounds:
Aspect Ratio - 2.62 x 1
Minimum dimensions - 1920 x 733px
Recommended dimensions - 2000 x 763px

Region Tickets and Banners:
Aspect Ratio - 2.62 x 1
Minimum dimensions - 1696 x 427px
Recommended dimensions - 2250 x 858px


Keynote Speaker Photos:
Aspect Ratio - 1.68 x 1
Minimum dimensions - 1220 x 727px
Recommended dimensions - 2440 x 1553px

Steering Committee Photos:
Aspect Ratio - 1.45 x 1
Minimum dimensions - 744 x 510px
Recommended dimensions - 1200 x 828px

Venue Photos:
Aspect Ratio - 1.5 x 1
Minimum dimensions - 793 x 529px
Recommended dimensions - 1499 x 998px

Past Summit Images:
Aspect Ratio - 3.04 x 1
Minimum dimensions - 363 x 79px
Recommended dimensions - 872 x 287px

Event Highlights Photos:
Aspect Ratio - 1.68 x 1
Minimum Dimensions - 2500 x 1488px